Sr Examen
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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¿Cómo usar?
- Derivada de:
-
Derivada de x^-7
- Derivada de i*n*x
-
Derivada de 5*tan(x)^3+sin(4*x)*e^((-x)/7)
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Derivada de (-2)/x^3
- Integral de d{x}:
- f(x)
- Suma de la serie:
- f(x)
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Expresiones idénticas
- f(x)=(ex²-sin⁴(3x- siete))/(ln(7x²-x+ nueve))-tan3^x²
- f(x) es igual a (ex² menos seno de ⁴(3x menos 7)) dividir por (ln(7x² menos x más 9)) menos tangente de 3 en el grado x²
- f(x) es igual a (ex² menos seno de ⁴(3x menos siete)) dividir por (ln(7x² menos x más nueve)) menos tangente de 3 en el grado x²
- f(x)=(ex²-sin⁴(3x-7))/(ln(7x²-x+9))-tan3x²
- fx=ex²-sin⁴3x-7/ln7x²-x+9-tan3x²
- fx=ex²-sin⁴3x-7/ln7x²-x+9-tan3^x²
- f(x)=(ex²-sin⁴(3x-7)) dividir por (ln(7x²-x+9))-tan3^x²
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Expresiones semejantes
- f(x)=(ex²-sin⁴(3x-7))/(ln(7x²-x-9))-tan3^x²
- f(x)=(ex²-sin⁴(3x-7))/(ln(7x²+x+9))-tan3^x²
- f(x)=(ex²+sin⁴(3x-7))/(ln(7x²-x+9))-tan3^x²
- f(x)=(ex²-sin⁴(3x-7))/(ln(7x²-x+9))+tan3^x²
- f(x)=(ex²-sin⁴(3x+7))/(ln(7x²-x+9))-tan3^x²
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Expresiones con funciones
- ln
- ln(ax)
- ln4x
- ln(3/x)
- ln(3x²)
- ln√(x-1)
Derivada de f(x)=(ex²-sin⁴(3x-7))/(ln(7x²-x+9))-tan3^x²
Solución
Ha introducido
[src]
/ 2\
\x / 4 / 2\
E - sin (3*x - 7) \x /
--------------------- - (tan(3))
/ 2 \
log\7*x - x + 9/
$$\frac{e^{x^{2}} - \sin^{4}{\left(3 x - 7 \right)}}{\log{\left(\left(7 x^{2} - x\right) + 9 \right)}} - \tan^{x^{2}}{\left(3 \right)}$$
(E^(x^2) - sin(3*x - 7)^4)/log(7*x^2 - x + 9) - tan(3)^(x^2)
Primera derivada
[src]
/ 2\ / / 2\ \
3 \x / / 2\ | \x / 4 |
- 12*sin (3*x - 7)*cos(3*x - 7) + 2*x*e \x / (-1 + 14*x)*\E - sin (3*x - 7)/
------------------------------------------- - 2*x*(tan(3)) *(pi*I + log(-tan(3))) - -----------------------------------
/ 2 \ / 2 \ 2/ 2 \
log\7*x - x + 9/ \7*x - x + 9/*log \7*x - x + 9/
$$- 2 x \left(\log{\left(- \tan{\left(3 \right)} \right)} + i \pi\right) \tan^{x^{2}}{\left(3 \right)} - \frac{\left(e^{x^{2}} - \sin^{4}{\left(3 x - 7 \right)}\right) \left(14 x - 1\right)}{\left(\left(7 x^{2} - x\right) + 9\right) \log{\left(\left(7 x^{2} - x\right) + 9 \right)}^{2}} + \frac{2 x e^{x^{2}} - 12 \sin^{3}{\left(3 x - 7 \right)} \cos{\left(3 x - 7 \right)}}{\log{\left(\left(7 x^{2} - x\right) + 9 \right)}}$$
Segunda derivada
[src]
/ / 2\ / 2\\ / / 2\\ / / 2\\ / / 2\ \ / / 2\\
/ 2\ | 4 2 2 2 \x / \x /| | 4 \x /| / 2\ 2 | 4 \x /| | \x / 3 | 2 | 4 \x /|
\x / 2*\18*sin (-7 + 3*x) - 54*cos (-7 + 3*x)*sin (-7 + 3*x) + 2*x *e + e / 14*\- sin (-7 + 3*x) + e / 2 2 \x / (-1 + 14*x) *\- sin (-7 + 3*x) + e / 4*(-1 + 14*x)*\x*e - 6*sin (-7 + 3*x)*cos(-7 + 3*x)/ 2*(-1 + 14*x) *\- sin (-7 + 3*x) + e /
- 2*(tan(3)) *(pi*I + log(-tan(3))) + ----------------------------------------------------------------------------- - --------------------------------- - 4*x *(pi*I + log(-tan(3))) *(tan(3)) + --------------------------------------- - -------------------------------------------------------- + -----------------------------------------
/ 2\ / 2\ 2/ 2\ 2 / 2\ 2/ 2\ 2
log\9 - x + 7*x / \9 - x + 7*x /*log \9 - x + 7*x / / 2\ 2/ 2\ \9 - x + 7*x /*log \9 - x + 7*x / / 2\ 3/ 2\
\9 - x + 7*x / *log \9 - x + 7*x / \9 - x + 7*x / *log \9 - x + 7*x /
$$- 4 x^{2} \left(\log{\left(- \tan{\left(3 \right)} \right)} + i \pi\right)^{2} \tan^{x^{2}}{\left(3 \right)} + \frac{\left(14 x - 1\right)^{2} \left(e^{x^{2}} - \sin^{4}{\left(3 x - 7 \right)}\right)}{\left(7 x^{2} - x + 9\right)^{2} \log{\left(7 x^{2} - x + 9 \right)}^{2}} + \frac{2 \left(14 x - 1\right)^{2} \left(e^{x^{2}} - \sin^{4}{\left(3 x - 7 \right)}\right)}{\left(7 x^{2} - x + 9\right)^{2} \log{\left(7 x^{2} - x + 9 \right)}^{3}} - \frac{4 \left(14 x - 1\right) \left(x e^{x^{2}} - 6 \sin^{3}{\left(3 x - 7 \right)} \cos{\left(3 x - 7 \right)}\right)}{\left(7 x^{2} - x + 9\right) \log{\left(7 x^{2} - x + 9 \right)}^{2}} - \frac{14 \left(e^{x^{2}} - \sin^{4}{\left(3 x - 7 \right)}\right)}{\left(7 x^{2} - x + 9\right) \log{\left(7 x^{2} - x + 9 \right)}^{2}} + \frac{2 \left(2 x^{2} e^{x^{2}} + e^{x^{2}} + 18 \sin^{4}{\left(3 x - 7 \right)} - 54 \sin^{2}{\left(3 x - 7 \right)} \cos^{2}{\left(3 x - 7 \right)}\right)}{\log{\left(7 x^{2} - x + 9 \right)}} - 2 \left(\log{\left(- \tan{\left(3 \right)} \right)} + i \pi\right) \tan^{x^{2}}{\left(3 \right)}$$
Tercera derivada
[src]
/ / / 2\ / 2\ \ / / 2\ \ / / 2\\ / / 2\\ / / 2\\ / / 2\ / 2\\ / / 2\ \ / / 2\ \ / / 2\\ / / 2\\\ | | 3 3 \x / \x / 3 | | \x / 3 | / 2\ / 2\ 3 | 4 \x /| 3 | 4 \x /| 3 | 4 \x /| | 4 2 2 2 \x / \x /| 2 | \x / 3 | 2 | \x / 3 | | 4 \x /| | 4 \x /|| |2*\- 162*cos (-7 + 3*x)*sin(-7 + 3*x) + 2*x *e + 3*x*e + 270*sin (-7 + 3*x)*cos(-7 + 3*x)/ 42*\x*e - 6*sin (-7 + 3*x)*cos(-7 + 3*x)/ 2 \x / 3 3 \x / (-1 + 14*x) *\- sin (-7 + 3*x) + e / 3*(-1 + 14*x) *\- sin (-7 + 3*x) + e / 3*(-1 + 14*x) *\- sin (-7 + 3*x) + e / 3*(-1 + 14*x)*\18*sin (-7 + 3*x) - 54*cos (-7 + 3*x)*sin (-7 + 3*x) + 2*x *e + e / 3*(-1 + 14*x) *\x*e - 6*sin (-7 + 3*x)*cos(-7 + 3*x)/ 6*(-1 + 14*x) *\x*e - 6*sin (-7 + 3*x)*cos(-7 + 3*x)/ 21*(-1 + 14*x)*\- sin (-7 + 3*x) + e / 42*(-1 + 14*x)*\- sin (-7 + 3*x) + e /| 2*|-------------------------------------------------------------------------------------------------- - --------------------------------------------- - 6*x*(pi*I + log(-tan(3))) *(tan(3)) - 4*x *(pi*I + log(-tan(3))) *(tan(3)) - --------------------------------------- - ----------------------------------------- - ----------------------------------------- - ----------------------------------------------------------------------------------------- + --------------------------------------------------------- + --------------------------------------------------------- + ----------------------------------------- + -----------------------------------------| | / 2\ / 2\ 2/ 2\ 3 3 3 / 2\ 2/ 2\ 2 2 2 2 | | log\9 - x + 7*x / \9 - x + 7*x /*log \9 - x + 7*x / / 2\ 2/ 2\ / 2\ 4/ 2\ / 2\ 3/ 2\ \9 - x + 7*x /*log \9 - x + 7*x / / 2\ 2/ 2\ / 2\ 3/ 2\ / 2\ 2/ 2\ / 2\ 3/ 2\ | \ \9 - x + 7*x / *log \9 - x + 7*x / \9 - x + 7*x / *log \9 - x + 7*x / \9 - x + 7*x / *log \9 - x + 7*x / \9 - x + 7*x / *log \9 - x + 7*x / \9 - x + 7*x / *log \9 - x + 7*x / \9 - x + 7*x / *log \9 - x + 7*x / \9 - x + 7*x / *log \9 - x + 7*x / /
$$2 \left(- 4 x^{3} \left(\log{\left(- \tan{\left(3 \right)} \right)} + i \pi\right)^{3} \tan^{x^{2}}{\left(3 \right)} - 6 x \left(\log{\left(- \tan{\left(3 \right)} \right)} + i \pi\right)^{2} \tan^{x^{2}}{\left(3 \right)} - \frac{\left(14 x - 1\right)^{3} \left(e^{x^{2}} - \sin^{4}{\left(3 x - 7 \right)}\right)}{\left(7 x^{2} - x + 9\right)^{3} \log{\left(7 x^{2} - x + 9 \right)}^{2}} - \frac{3 \left(14 x - 1\right)^{3} \left(e^{x^{2}} - \sin^{4}{\left(3 x - 7 \right)}\right)}{\left(7 x^{2} - x + 9\right)^{3} \log{\left(7 x^{2} - x + 9 \right)}^{3}} - \frac{3 \left(14 x - 1\right)^{3} \left(e^{x^{2}} - \sin^{4}{\left(3 x - 7 \right)}\right)}{\left(7 x^{2} - x + 9\right)^{3} \log{\left(7 x^{2} - x + 9 \right)}^{4}} + \frac{3 \left(14 x - 1\right)^{2} \left(x e^{x^{2}} - 6 \sin^{3}{\left(3 x - 7 \right)} \cos{\left(3 x - 7 \right)}\right)}{\left(7 x^{2} - x + 9\right)^{2} \log{\left(7 x^{2} - x + 9 \right)}^{2}} + \frac{6 \left(14 x - 1\right)^{2} \left(x e^{x^{2}} - 6 \sin^{3}{\left(3 x - 7 \right)} \cos{\left(3 x - 7 \right)}\right)}{\left(7 x^{2} - x + 9\right)^{2} \log{\left(7 x^{2} - x + 9 \right)}^{3}} + \frac{21 \left(14 x - 1\right) \left(e^{x^{2}} - \sin^{4}{\left(3 x - 7 \right)}\right)}{\left(7 x^{2} - x + 9\right)^{2} \log{\left(7 x^{2} - x + 9 \right)}^{2}} + \frac{42 \left(14 x - 1\right) \left(e^{x^{2}} - \sin^{4}{\left(3 x - 7 \right)}\right)}{\left(7 x^{2} - x + 9\right)^{2} \log{\left(7 x^{2} - x + 9 \right)}^{3}} - \frac{3 \left(14 x - 1\right) \left(2 x^{2} e^{x^{2}} + e^{x^{2}} + 18 \sin^{4}{\left(3 x - 7 \right)} - 54 \sin^{2}{\left(3 x - 7 \right)} \cos^{2}{\left(3 x - 7 \right)}\right)}{\left(7 x^{2} - x + 9\right) \log{\left(7 x^{2} - x + 9 \right)}^{2}} - \frac{42 \left(x e^{x^{2}} - 6 \sin^{3}{\left(3 x - 7 \right)} \cos{\left(3 x - 7 \right)}\right)}{\left(7 x^{2} - x + 9\right) \log{\left(7 x^{2} - x + 9 \right)}^{2}} + \frac{2 \left(2 x^{3} e^{x^{2}} + 3 x e^{x^{2}} + 270 \sin^{3}{\left(3 x - 7 \right)} \cos{\left(3 x - 7 \right)} - 162 \sin{\left(3 x - 7 \right)} \cos^{3}{\left(3 x - 7 \right)}\right)}{\log{\left(7 x^{2} - x + 9 \right)}}\right)$$
Gráfico