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Otras calculadoras
- Derivada de una función implícitamente dada
- Derivada de una función paramétrica
- Derivada parcial de la función
- Análisis de la función gráfica
- Integrales paso a paso
- Ecuaciones diferenciales paso a paso
- Límites paso por paso
-
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- Derivada de:
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Derivada de (x+12)e^(12-x)
- Derivada de u/v
-
Derivada de t+1
-
Derivada de (sqrt(x)-1)/(sqrt(x^2)-x-1)
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Expresiones idénticas
- -((xsin siete x)^ tres /((uno -x^ dos)^((uno / dos)))+ tres *7(sin(7x)^ dos)*(uno -x^ dos)^(uno / dos)*cos(7x))/(cos(6x)^ dos)
- menos ((x seno de 7x) al cubo dividir por ((1 menos x al cuadrado ) en el grado ((1 dividir por 2))) más 3 multiplicar por 7( seno de (7x) al cuadrado ) multiplicar por (1 menos x al cuadrado ) en el grado (1 dividir por 2) multiplicar por coseno de (7x)) dividir por ( coseno de (6x) al cuadrado )
- menos ((x seno de siete x) en el grado tres dividir por ((uno menos x en el grado dos) en el grado ((uno dividir por dos))) más tres multiplicar por 7( seno de (7x) en el grado dos) multiplicar por (uno menos x en el grado dos) en el grado (uno dividir por dos) multiplicar por coseno de (7x)) dividir por ( coseno de (6x) en el grado dos)
- -((xsin7x)3/((1-x2)((1/2)))+3*7(sin(7x)2)*(1-x2)(1/2)*cos(7x))/(cos(6x)2)
- -xsin7x3/1-x21/2+3*7sin7x2*1-x21/2*cos7x/cos6x2
- -((xsin7x)³/((1-x²)^((1/2)))+3*7(sin(7x)²)*(1-x²)^(1/2)*cos(7x))/(cos(6x)²)
- -((xsin7x) en el grado 3/((1-x en el grado 2) en el grado ((1/2)))+3*7(sin(7x) en el grado 2)*(1-x en el grado 2) en el grado (1/2)*cos(7x))/(cos(6x) en el grado 2)
- -((xsin7x)^3/((1-x^2)^((1/2)))+37(sin(7x)^2)(1-x^2)^(1/2)cos(7x))/(cos(6x)^2)
- -((xsin7x)3/((1-x2)((1/2)))+37(sin(7x)2)(1-x2)(1/2)cos(7x))/(cos(6x)2)
- -xsin7x3/1-x21/2+37sin7x21-x21/2cos7x/cos6x2
- -xsin7x^3/1-x^2^1/2+37sin7x^21-x^2^1/2cos7x/cos6x^2
- -((xsin7x)^3 dividir por ((1-x^2)^((1 dividir por 2)))+3*7(sin(7x)^2)*(1-x^2)^(1 dividir por 2)*cos(7x)) dividir por (cos(6x)^2)
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Expresiones semejantes
- ((xsin7x)^3/((1-x^2)^((1/2)))+3*7(sin(7x)^2)*(1-x^2)^(1/2)*cos(7x))/(cos(6x)^2)
- -((xsin7x)^3/((1-x^2)^((1/2)))+3*7(sin(7x)^2)*(1+x^2)^(1/2)*cos(7x))/(cos(6x)^2)
- -((xsin7x)^3/((1+x^2)^((1/2)))+3*7(sin(7x)^2)*(1-x^2)^(1/2)*cos(7x))/(cos(6x)^2)
- -((xsin7x)^3/((1-x^2)^((1/2)))-3*7(sin(7x)^2)*(1-x^2)^(1/2)*cos(7x))/(cos(6x)^2)
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Expresiones con funciones
- Seno sin
- sin^(-1)x
- sin(12*x)
- sin^-1(cosx)
- sin(1-4x)
- sin(x)-5
Derivada de la función/
-((xsin7x)^3/((1-x^2)^((1/2)))+3*7(sin(7x)^2)*(1-x^2)^(1/2)*cos(7x))/(cos(6x)^2)
Derivada de -((xsin7x)^3/((1-x^2)^((1/2)))+3*7(sin(7x)^2)*(1-x^2)^(1/2)*cos(7x))/(cos(6x)^2)
Solución
Ha introducido
[src]
3 ________
(x*sin(7*x)) 2 / 2
- ------------- - 21*sin (7*x)*\/ 1 - x *cos(7*x)
________
/ 2
\/ 1 - x
---------------------------------------------------
2
cos (6*x)
$$\frac{- \frac{\left(x \sin{\left(7 x \right)}\right)^{3}}{\sqrt{1 - x^{2}}} - \sqrt{1 - x^{2}} \cdot 21 \sin^{2}{\left(7 x \right)} \cos{\left(7 x \right)}}{\cos^{2}{\left(6 x \right)}}$$
(-(x*sin(7*x))^3/sqrt(1 - x^2) - (21*sin(7*x)^2)*sqrt(1 - x^2)*cos(7*x))/cos(6*x)^2
Primera derivada
[src]
/ ________ 2 \ ________ 4 3 2 2 / 3 ________ \
| / 2 21*x*sin (7*x)| / 2 3 x *sin (7*x) x *sin (7*x)*(3*sin(7*x) + 21*x*cos(7*x)) | (x*sin(7*x)) 2 / 2 |
|- 294*\/ 1 - x *cos(7*x)*sin(7*x) + --------------|*cos(7*x) + 147*\/ 1 - x *sin (7*x) - ------------ - ----------------------------------------- 12*|- ------------- - 21*sin (7*x)*\/ 1 - x *cos(7*x)|*sin(6*x)
| ________ | 3/2 ________ | ________ |
| / 2 | / 2\ / 2 | / 2 |
\ \/ 1 - x / \1 - x / \/ 1 - x \ \/ 1 - x /
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2 3
cos (6*x) cos (6*x)
$$\frac{12 \left(- \frac{\left(x \sin{\left(7 x \right)}\right)^{3}}{\sqrt{1 - x^{2}}} - \sqrt{1 - x^{2}} \cdot 21 \sin^{2}{\left(7 x \right)} \cos{\left(7 x \right)}\right) \sin{\left(6 x \right)}}{\cos^{3}{\left(6 x \right)}} + \frac{- \frac{x^{4} \sin^{3}{\left(7 x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} - \frac{x^{2} \left(21 x \cos{\left(7 x \right)} + 3 \sin{\left(7 x \right)}\right) \sin^{2}{\left(7 x \right)}}{\sqrt{1 - x^{2}}} + 147 \sqrt{1 - x^{2}} \sin^{3}{\left(7 x \right)} + \left(\frac{21 x \sin^{2}{\left(7 x \right)}}{\sqrt{1 - x^{2}}} - 294 \sqrt{1 - x^{2}} \sin{\left(7 x \right)} \cos{\left(7 x \right)}\right) \cos{\left(7 x \right)}}{\cos^{2}{\left(6 x \right)}}$$
Segunda derivada
[src]
/ / ________ / ________ \ 4 2 2 \ \
| | / 2 2 | / 2 x*sin(7*x)| x *sin (7*x) 3*x *(7*x*cos(7*x) + sin(7*x))*sin(7*x)| |
| 24*|- 147*\/ 1 - x *sin (7*x) - 21*|- 14*\/ 1 - x *cos(7*x) + -----------|*cos(7*x) + ------------ + ---------------------------------------|*sin(6*x)*sin(7*x) |
| | | ________| 3/2 ________ | |
| / 2 ________ ________ 2 2 \ / ________ \ ________ 5 3 3 3 / 2 \ / ________ 3 \ 3 2 2 3 2 2 4 2 | | / 2 | / 2\ / 2 | 2 |
| | sin (7*x) / 2 2 / 2 2 x *sin (7*x) 28*x*cos(7*x)*sin(7*x)| 2 | / 2 x*sin(7*x)| / 2 2 3*x *sin (7*x) 4*x *sin (7*x) 2 | 3*sin (6*x)| | / 2 x *sin(7*x)| 147*x*sin (7*x) 21*x *sin (7*x)*(-2*cos(7*x) + 7*x*sin(7*x)) 3*x *sin (7*x)*(7*x*cos(7*x) + sin(7*x)) 6*x*sin (7*x)*(7*x*cos(7*x) + sin(7*x)) 21*x *sin (7*x)*cos(7*x) \ \ \/ 1 - x / \1 - x / \/ 1 - x / 42*x *(7*x*cos(7*x) + sin(7*x))*cos(7*x)*sin(7*x)|
-|- 21*|----------- - 98*\/ 1 - x *cos (7*x) + 98*\/ 1 - x *sin (7*x) + ------------ + ----------------------|*cos(7*x) + 147*sin (7*x)*|- 14*\/ 1 - x *cos(7*x) + -----------| - 3087*\/ 1 - x *sin (7*x)*cos(7*x) + -------------- + -------------- + 72*sin (7*x)*|1 + -----------|*|21*\/ 1 - x *cos(7*x) + -----------| + --------------- - -------------------------------------------- + ---------------------------------------- + --------------------------------------- + ------------------------ + ------------------------------------------------------------------------------------------------------------------------------------------------------------------- + -------------------------------------------------|
| | ________ 3/2 ________ | | ________| 5/2 3/2 | 2 | | ________| ________ ________ 3/2 ________ 3/2 cos(6*x) ________ |
| | / 2 / 2\ / 2 | | / 2 | / 2\ / 2\ \ cos (6*x) / | / 2 | / 2 / 2 / 2\ / 2 / 2\ / 2 |
\ \\/ 1 - x \1 - x / \/ 1 - x / \ \/ 1 - x / \1 - x / \1 - x / \ \/ 1 - x / \/ 1 - x \/ 1 - x \1 - x / \/ 1 - x \1 - x / \/ 1 - x /
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2
cos (6*x)
$$- \frac{\frac{3 x^{5} \sin^{3}{\left(7 x \right)}}{\left(1 - x^{2}\right)^{\frac{5}{2}}} + \frac{21 x^{4} \sin^{2}{\left(7 x \right)} \cos{\left(7 x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + \frac{3 x^{3} \left(7 x \cos{\left(7 x \right)} + \sin{\left(7 x \right)}\right) \sin^{2}{\left(7 x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + \frac{4 x^{3} \sin^{3}{\left(7 x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} - \frac{21 x^{2} \left(7 x \sin{\left(7 x \right)} - 2 \cos{\left(7 x \right)}\right) \sin^{2}{\left(7 x \right)}}{\sqrt{1 - x^{2}}} + \frac{42 x^{2} \left(7 x \cos{\left(7 x \right)} + \sin{\left(7 x \right)}\right) \sin{\left(7 x \right)} \cos{\left(7 x \right)}}{\sqrt{1 - x^{2}}} + \frac{6 x \left(7 x \cos{\left(7 x \right)} + \sin{\left(7 x \right)}\right) \sin^{2}{\left(7 x \right)}}{\sqrt{1 - x^{2}}} + \frac{147 x \sin^{3}{\left(7 x \right)}}{\sqrt{1 - x^{2}}} - 3087 \sqrt{1 - x^{2}} \sin^{2}{\left(7 x \right)} \cos{\left(7 x \right)} + 72 \left(\frac{3 \sin^{2}{\left(6 x \right)}}{\cos^{2}{\left(6 x \right)}} + 1\right) \left(\frac{x^{3} \sin{\left(7 x \right)}}{\sqrt{1 - x^{2}}} + 21 \sqrt{1 - x^{2}} \cos{\left(7 x \right)}\right) \sin^{2}{\left(7 x \right)} + 147 \left(\frac{x \sin{\left(7 x \right)}}{\sqrt{1 - x^{2}}} - 14 \sqrt{1 - x^{2}} \cos{\left(7 x \right)}\right) \sin^{2}{\left(7 x \right)} + \frac{24 \left(\frac{x^{4} \sin^{2}{\left(7 x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + \frac{3 x^{2} \left(7 x \cos{\left(7 x \right)} + \sin{\left(7 x \right)}\right) \sin{\left(7 x \right)}}{\sqrt{1 - x^{2}}} - 147 \sqrt{1 - x^{2}} \sin^{2}{\left(7 x \right)} - 21 \left(\frac{x \sin{\left(7 x \right)}}{\sqrt{1 - x^{2}}} - 14 \sqrt{1 - x^{2}} \cos{\left(7 x \right)}\right) \cos{\left(7 x \right)}\right) \sin{\left(6 x \right)} \sin{\left(7 x \right)}}{\cos{\left(6 x \right)}} - 21 \left(\frac{x^{2} \sin^{2}{\left(7 x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + \frac{28 x \sin{\left(7 x \right)} \cos{\left(7 x \right)}}{\sqrt{1 - x^{2}}} + 98 \sqrt{1 - x^{2}} \sin^{2}{\left(7 x \right)} - 98 \sqrt{1 - x^{2}} \cos^{2}{\left(7 x \right)} + \frac{\sin^{2}{\left(7 x \right)}}{\sqrt{1 - x^{2}}}\right) \cos{\left(7 x \right)}}{\cos^{2}{\left(6 x \right)}}$$
Tercera derivada
[src]
/ / / 2 ________ ________ 2 2 \ / ________ \ ________ 5 3 3 3 3 2 2 3 2 2 4 2 2 \ / 2 \ / ________ 3 \ \
| | | sin (7*x) / 2 2 / 2 2 x *sin (7*x) 28*x*cos(7*x)*sin(7*x)| 2 | / 2 x*sin(7*x)| / 2 2 3*x *sin (7*x) 4*x *sin (7*x) 147*x*sin (7*x) 21*x *sin (7*x)*(-2*cos(7*x) + 7*x*sin(7*x)) 3*x *sin (7*x)*(7*x*cos(7*x) + sin(7*x)) 6*x*sin (7*x)*(7*x*cos(7*x) + sin(7*x)) 21*x *sin (7*x)*cos(7*x) 42*x *(7*x*cos(7*x) + sin(7*x))*cos(7*x)*sin(7*x)| 2 | 3*sin (6*x)| | / 2 x *sin(7*x)| |
| 12*|- 21*|----------- - 98*\/ 1 - x *cos (7*x) + 98*\/ 1 - x *sin (7*x) + ------------ + ----------------------|*cos(7*x) + 147*sin (7*x)*|- 14*\/ 1 - x *cos(7*x) + -----------| - 3087*\/ 1 - x *sin (7*x)*cos(7*x) + -------------- + -------------- + --------------- - -------------------------------------------- + ---------------------------------------- + --------------------------------------- + ------------------------ + -------------------------------------------------|*sin(6*x) 576*sin (7*x)*|2 + -----------|*|21*\/ 1 - x *cos(7*x) + -----------|*sin(6*x)|
| | | ________ 3/2 ________ | | ________| 5/2 3/2 ________ ________ 3/2 ________ 3/2 ________ | | 2 | | ________| |
| / 2 2 3 2 2 ________ 2 \ 3 / 2 ________ ________ 2 2 \ ________ ________ 4 3 2 6 3 4 3 | | / 2 / 2\ / 2 | | / 2 | / 2\ / 2\ / 2 / 2 / 2\ / 2 / 2\ / 2 | 2 3 / 2 \ / ________ / ________ \ 4 2 2 \ / ________ \ 2 2 2 2 2 3 2 4 2 2 2 5 2 3 2 2 2 4 2 2 2 3 \ cos (6*x) / | / 2 | |
| | 294*x*sin (7*x) 3*x*sin (7*x) 3*x *sin (7*x) 42*cos(7*x)*sin(7*x) 294*x*cos (7*x) / 2 42*x *cos(7*x)*sin(7*x)| 49*sin (7*x) | sin (7*x) / 2 2 / 2 2 x *sin (7*x) 28*x*cos(7*x)*sin(7*x)| / 2 3 / 2 2 49*x *sin (7*x) 2*sin (7*x)*(7*x*cos(7*x) + sin(7*x)) 5*x *sin (7*x) 9*x *sin (7*x) \ \\/ 1 - x \1 - x / \/ 1 - x / \ \/ 1 - x / \1 - x / \1 - x / \/ 1 - x \/ 1 - x \1 - x / \/ 1 - x \1 - x / \/ 1 - x / 53*x *sin (7*x) | 3*sin (6*x)| | / 2 2 | / 2 x*sin(7*x)| x *sin (7*x) 3*x *(7*x*cos(7*x) + sin(7*x))*sin(7*x)| | / 2 x*sin(7*x)| 98*x *sin (7*x)*(7*x*cos(7*x) + sin(7*x)) 49*x *sin (7*x)*(3*sin(7*x) + 7*x*cos(7*x)) 28*x*sin (7*x)*(-2*cos(7*x) + 7*x*sin(7*x)) 14*x *sin (7*x)*(-2*cos(7*x) + 7*x*sin(7*x)) 3*x *sin (7*x)*(7*x*cos(7*x) + sin(7*x)) 5*x *sin (7*x)*(7*x*cos(7*x) + sin(7*x)) 42*x *sin (7*x)*cos(7*x) 56*x *sin (7*x)*cos(7*x) 98*x *cos (7*x)*(7*x*cos(7*x) + sin(7*x)) 98*x *cos (7*x)*sin(7*x) 2058*x*sin (7*x)*cos(7*x) 196*x *(-2*cos(7*x) + 7*x*sin(7*x))*cos(7*x)*sin(7*x) 28*x *(7*x*cos(7*x) + sin(7*x))*cos(7*x)*sin(7*x) 56*x*(7*x*cos(7*x) + sin(7*x))*cos(7*x)*sin(7*x) \ \/ 1 - x / |
-3*|- 7*|- --------------- + ------------- + -------------- + -------------------- + --------------- + 2744*\/ 1 - x *cos(7*x)*sin(7*x) + -----------------------|*cos(7*x) + ------------ + 98*|----------- - 98*\/ 1 - x *cos (7*x) + 98*\/ 1 - x *sin (7*x) + ------------ + ----------------------|*sin(7*x) + 7203*\/ 1 - x *sin (7*x) - 14406*\/ 1 - x *cos (7*x)*sin(7*x) - --------------- + ------------------------------------- + -------------- + -------------- + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + --------------- + 72*|1 + -----------|*|- 147*\/ 1 - x *sin (7*x) - 21*|- 14*\/ 1 - x *cos(7*x) + -----------|*cos(7*x) + ------------ + ---------------------------------------|*sin(7*x) + 343*|- 14*\/ 1 - x *cos(7*x) + -----------|*cos(7*x)*sin(7*x) - ----------------------------------------- - ------------------------------------------- - ------------------------------------------- - -------------------------------------------- + ---------------------------------------- + ---------------------------------------- + ------------------------ + ------------------------ + ----------------------------------------- + ------------------------ + ------------------------- - ----------------------------------------------------- + ------------------------------------------------- + ------------------------------------------------ + --------------------------------------------------------------------------------|
| | ________ 3/2 5/2 ________ ________ 3/2 | ________ | ________ 3/2 ________ | 3/2 ________ 7/2 5/2 cos(6*x) 3/2 | 2 | | | ________| 3/2 ________ | | ________| ________ ________ ________ 3/2 5/2 3/2 5/2 3/2 ________ 3/2 ________ ________ 3/2 ________ cos(6*x) |
| | / 2 / 2\ / 2\ / 2 / 2 / 2\ | / 2 | / 2 / 2\ / 2 | / 2\ / 2 / 2\ / 2\ / 2\ \ cos (6*x) / | | / 2 | / 2\ / 2 | | / 2 | / 2 / 2 / 2 / 2\ / 2\ / 2\ / 2\ / 2\ / 2 / 2\ / 2 / 2 / 2\ / 2 |
\ \ \/ 1 - x \1 - x / \1 - x / \/ 1 - x \/ 1 - x \1 - x / / \/ 1 - x \\/ 1 - x \1 - x / \/ 1 - x / \1 - x / \/ 1 - x \1 - x / \1 - x / \1 - x / \ \ \/ 1 - x / \1 - x / \/ 1 - x / \ \/ 1 - x / \/ 1 - x \/ 1 - x \/ 1 - x \1 - x / \1 - x / \1 - x / \1 - x / \1 - x / \/ 1 - x \1 - x / \/ 1 - x \/ 1 - x \1 - x / \/ 1 - x /
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2
cos (6*x)
$$- \frac{3 \left(\frac{5 x^{6} \sin^{3}{\left(7 x \right)}}{\left(1 - x^{2}\right)^{\frac{7}{2}}} + \frac{42 x^{5} \sin^{2}{\left(7 x \right)} \cos{\left(7 x \right)}}{\left(1 - x^{2}\right)^{\frac{5}{2}}} - \frac{49 x^{4} \sin^{3}{\left(7 x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + \frac{98 x^{4} \sin{\left(7 x \right)} \cos^{2}{\left(7 x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + \frac{3 x^{4} \left(7 x \cos{\left(7 x \right)} + \sin{\left(7 x \right)}\right) \sin^{2}{\left(7 x \right)}}{\left(1 - x^{2}\right)^{\frac{5}{2}}} + \frac{9 x^{4} \sin^{3}{\left(7 x \right)}}{\left(1 - x^{2}\right)^{\frac{5}{2}}} - \frac{14 x^{3} \left(7 x \sin{\left(7 x \right)} - 2 \cos{\left(7 x \right)}\right) \sin^{2}{\left(7 x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + \frac{28 x^{3} \left(7 x \cos{\left(7 x \right)} + \sin{\left(7 x \right)}\right) \sin{\left(7 x \right)} \cos{\left(7 x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + \frac{56 x^{3} \sin^{2}{\left(7 x \right)} \cos{\left(7 x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} - \frac{196 x^{2} \left(7 x \sin{\left(7 x \right)} - 2 \cos{\left(7 x \right)}\right) \sin{\left(7 x \right)} \cos{\left(7 x \right)}}{\sqrt{1 - x^{2}}} - \frac{98 x^{2} \left(7 x \cos{\left(7 x \right)} + \sin{\left(7 x \right)}\right) \sin^{2}{\left(7 x \right)}}{\sqrt{1 - x^{2}}} + \frac{98 x^{2} \left(7 x \cos{\left(7 x \right)} + \sin{\left(7 x \right)}\right) \cos^{2}{\left(7 x \right)}}{\sqrt{1 - x^{2}}} - \frac{49 x^{2} \left(7 x \cos{\left(7 x \right)} + 3 \sin{\left(7 x \right)}\right) \sin^{2}{\left(7 x \right)}}{\sqrt{1 - x^{2}}} + \frac{5 x^{2} \left(7 x \cos{\left(7 x \right)} + \sin{\left(7 x \right)}\right) \sin^{2}{\left(7 x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + \frac{53 x^{2} \sin^{3}{\left(7 x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} - \frac{28 x \left(7 x \sin{\left(7 x \right)} - 2 \cos{\left(7 x \right)}\right) \sin^{2}{\left(7 x \right)}}{\sqrt{1 - x^{2}}} + \frac{56 x \left(7 x \cos{\left(7 x \right)} + \sin{\left(7 x \right)}\right) \sin{\left(7 x \right)} \cos{\left(7 x \right)}}{\sqrt{1 - x^{2}}} + \frac{2058 x \sin^{2}{\left(7 x \right)} \cos{\left(7 x \right)}}{\sqrt{1 - x^{2}}} + 7203 \sqrt{1 - x^{2}} \sin^{3}{\left(7 x \right)} - 14406 \sqrt{1 - x^{2}} \sin{\left(7 x \right)} \cos^{2}{\left(7 x \right)} + 72 \left(\frac{3 \sin^{2}{\left(6 x \right)}}{\cos^{2}{\left(6 x \right)}} + 1\right) \left(\frac{x^{4} \sin^{2}{\left(7 x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + \frac{3 x^{2} \left(7 x \cos{\left(7 x \right)} + \sin{\left(7 x \right)}\right) \sin{\left(7 x \right)}}{\sqrt{1 - x^{2}}} - 147 \sqrt{1 - x^{2}} \sin^{2}{\left(7 x \right)} - 21 \left(\frac{x \sin{\left(7 x \right)}}{\sqrt{1 - x^{2}}} - 14 \sqrt{1 - x^{2}} \cos{\left(7 x \right)}\right) \cos{\left(7 x \right)}\right) \sin{\left(7 x \right)} + \frac{576 \left(\frac{3 \sin^{2}{\left(6 x \right)}}{\cos^{2}{\left(6 x \right)}} + 2\right) \left(\frac{x^{3} \sin{\left(7 x \right)}}{\sqrt{1 - x^{2}}} + 21 \sqrt{1 - x^{2}} \cos{\left(7 x \right)}\right) \sin{\left(6 x \right)} \sin^{2}{\left(7 x \right)}}{\cos{\left(6 x \right)}} + 343 \left(\frac{x \sin{\left(7 x \right)}}{\sqrt{1 - x^{2}}} - 14 \sqrt{1 - x^{2}} \cos{\left(7 x \right)}\right) \sin{\left(7 x \right)} \cos{\left(7 x \right)} + 98 \left(\frac{x^{2} \sin^{2}{\left(7 x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + \frac{28 x \sin{\left(7 x \right)} \cos{\left(7 x \right)}}{\sqrt{1 - x^{2}}} + 98 \sqrt{1 - x^{2}} \sin^{2}{\left(7 x \right)} - 98 \sqrt{1 - x^{2}} \cos^{2}{\left(7 x \right)} + \frac{\sin^{2}{\left(7 x \right)}}{\sqrt{1 - x^{2}}}\right) \sin{\left(7 x \right)} - 7 \left(\frac{3 x^{3} \sin^{2}{\left(7 x \right)}}{\left(1 - x^{2}\right)^{\frac{5}{2}}} + \frac{42 x^{2} \sin{\left(7 x \right)} \cos{\left(7 x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} - \frac{294 x \sin^{2}{\left(7 x \right)}}{\sqrt{1 - x^{2}}} + \frac{294 x \cos^{2}{\left(7 x \right)}}{\sqrt{1 - x^{2}}} + \frac{3 x \sin^{2}{\left(7 x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + 2744 \sqrt{1 - x^{2}} \sin{\left(7 x \right)} \cos{\left(7 x \right)} + \frac{42 \sin{\left(7 x \right)} \cos{\left(7 x \right)}}{\sqrt{1 - x^{2}}}\right) \cos{\left(7 x \right)} + \frac{12 \left(\frac{3 x^{5} \sin^{3}{\left(7 x \right)}}{\left(1 - x^{2}\right)^{\frac{5}{2}}} + \frac{21 x^{4} \sin^{2}{\left(7 x \right)} \cos{\left(7 x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + \frac{3 x^{3} \left(7 x \cos{\left(7 x \right)} + \sin{\left(7 x \right)}\right) \sin^{2}{\left(7 x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + \frac{4 x^{3} \sin^{3}{\left(7 x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} - \frac{21 x^{2} \left(7 x \sin{\left(7 x \right)} - 2 \cos{\left(7 x \right)}\right) \sin^{2}{\left(7 x \right)}}{\sqrt{1 - x^{2}}} + \frac{42 x^{2} \left(7 x \cos{\left(7 x \right)} + \sin{\left(7 x \right)}\right) \sin{\left(7 x \right)} \cos{\left(7 x \right)}}{\sqrt{1 - x^{2}}} + \frac{6 x \left(7 x \cos{\left(7 x \right)} + \sin{\left(7 x \right)}\right) \sin^{2}{\left(7 x \right)}}{\sqrt{1 - x^{2}}} + \frac{147 x \sin^{3}{\left(7 x \right)}}{\sqrt{1 - x^{2}}} - 3087 \sqrt{1 - x^{2}} \sin^{2}{\left(7 x \right)} \cos{\left(7 x \right)} + 147 \left(\frac{x \sin{\left(7 x \right)}}{\sqrt{1 - x^{2}}} - 14 \sqrt{1 - x^{2}} \cos{\left(7 x \right)}\right) \sin^{2}{\left(7 x \right)} - 21 \left(\frac{x^{2} \sin^{2}{\left(7 x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + \frac{28 x \sin{\left(7 x \right)} \cos{\left(7 x \right)}}{\sqrt{1 - x^{2}}} + 98 \sqrt{1 - x^{2}} \sin^{2}{\left(7 x \right)} - 98 \sqrt{1 - x^{2}} \cos^{2}{\left(7 x \right)} + \frac{\sin^{2}{\left(7 x \right)}}{\sqrt{1 - x^{2}}}\right) \cos{\left(7 x \right)}\right) \sin{\left(6 x \right)}}{\cos{\left(6 x \right)}} + \frac{2 \left(7 x \cos{\left(7 x \right)} + \sin{\left(7 x \right)}\right) \sin^{2}{\left(7 x \right)}}{\sqrt{1 - x^{2}}} + \frac{49 \sin^{3}{\left(7 x \right)}}{\sqrt{1 - x^{2}}}\right)}{\cos^{2}{\left(6 x \right)}}$$
Gráfico