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
-
¿Cómo usar?
- Derivada de:
-
Derivada de 2^√x
-
Derivada de 3^(1/x)
-
Derivada de 2*x+8/x
-
Derivada de -1/y
-
Expresiones idénticas
- y=(dos x^ dos *sin(x)*tg(x^ dos + uno))/sqrt(x^2+ uno)
- y es igual a (2x al cuadrado multiplicar por seno de (x) multiplicar por tg(x al cuadrado más 1)) dividir por raíz cuadrada de (x al cuadrado más 1)
- y es igual a (dos x en el grado dos multiplicar por seno de (x) multiplicar por tg(x en el grado dos más uno)) dividir por raíz cuadrada de (x al cuadrado más uno)
- y=(2x^2*sin(x)*tg(x^2+1))/√(x^2+1)
- y=(2x2*sin(x)*tg(x2+1))/sqrt(x2+1)
- y=2x2*sinx*tgx2+1/sqrtx2+1
- y=(2x²*sin(x)*tg(x²+1))/sqrt(x²+1)
- y=(2x en el grado 2*sin(x)*tg(x en el grado 2+1))/sqrt(x en el grado 2+1)
- y=(2x^2sin(x)tg(x^2+1))/sqrt(x^2+1)
- y=(2x2sin(x)tg(x2+1))/sqrt(x2+1)
- y=2x2sinxtgx2+1/sqrtx2+1
- y=2x^2sinxtgx^2+1/sqrtx^2+1
- y=(2x^2*sin(x)*tg(x^2+1)) dividir por sqrt(x^2+1)
-
Expresiones semejantes
- y=(2x^2*sin(x)*tg(x^2-1))/sqrt(x^2+1)
- y=(2x^2*sin(x)*tg(x^2+1))/sqrt(x^2-1)
- y=(2x^2*sinx*tg(x^2+1))/sqrt(x^2+1)
-
Expresiones con funciones
- Seno sin
- sin(x/3+3)+2*x
- sin(x+2)
- sin(x^2+2x)
- sin(x)^(2)*2^x^2
- sin^n(x)
- Raíz cuadrada sqrt
- sqrt(x*2)
- sqrt(sinx^3)
- sqrt((x-1)/2)
- sqrt(4-3*(sin(t^(3)))*(cos(t)^(2))^(2))
- sqrt(3*y)
Derivada de y=(2x^2*sin(x)*tg(x^2+1))/sqrt(x^2+1)
Solución
Ha introducido
[src]
2 / 2 \
2*x *sin(x)*tan\x + 1/
-----------------------
________
/ 2
\/ x + 1
$$\frac{2 x^{2} \sin{\left(x \right)} \tan{\left(x^{2} + 1 \right)}}{\sqrt{x^{2} + 1}}$$
(((2*x^2)*sin(x))*tan(x^2 + 1))/sqrt(x^2 + 1)
Primera derivada
[src]
/ 2 \ / 2 \ 3 / 2/ 2 \\ 3 / 2 \
\2*x *cos(x) + 4*x*sin(x)/*tan\x + 1/ + 4*x *\1 + tan \x + 1//*sin(x) 2*x *sin(x)*tan\x + 1/
----------------------------------------------------------------------- - -----------------------
________ 3/2
/ 2 / 2 \
\/ x + 1 \x + 1/
$$- \frac{2 x^{3} \sin{\left(x \right)} \tan{\left(x^{2} + 1 \right)}}{\left(x^{2} + 1\right)^{\frac{3}{2}}} + \frac{4 x^{3} \left(\tan^{2}{\left(x^{2} + 1 \right)} + 1\right) \sin{\left(x \right)} + \left(2 x^{2} \cos{\left(x \right)} + 4 x \sin{\left(x \right)}\right) \tan{\left(x^{2} + 1 \right)}}{\sqrt{x^{2} + 1}}$$
Segunda derivada
[src]
/ / 2 \ \
| 2 | 3*x | / 2\|
| x *|-1 + ------|*sin(x)*tan\1 + x /|
| 2 / / 2\ 2 / 2/ 2\\ \ | 2| |
|/ 2 \ / 2\ 2*x *\(2*sin(x) + x*cos(x))*tan\1 + x / + 2*x *\1 + tan \1 + x //*sin(x)/ 2 / 2/ 2\ 2 / 2/ 2\\ / 2\\ 2 / 2/ 2\\ \ 1 + x / |
2*|\2*sin(x) - x *sin(x) + 4*x*cos(x)/*tan\1 + x / - ------------------------------------------------------------------------- + 2*x *\1 + tan \1 + x / + 4*x *\1 + tan \1 + x //*tan\1 + x //*sin(x) + 4*x *\1 + tan \1 + x //*(2*sin(x) + x*cos(x)) + -----------------------------------|
| 2 2 |
\ 1 + x 1 + x /
--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
________
/ 2
\/ 1 + x
$$\frac{2 \left(4 x^{2} \left(x \cos{\left(x \right)} + 2 \sin{\left(x \right)}\right) \left(\tan^{2}{\left(x^{2} + 1 \right)} + 1\right) + 2 x^{2} \left(4 x^{2} \left(\tan^{2}{\left(x^{2} + 1 \right)} + 1\right) \tan{\left(x^{2} + 1 \right)} + \tan^{2}{\left(x^{2} + 1 \right)} + 1\right) \sin{\left(x \right)} + \frac{x^{2} \left(\frac{3 x^{2}}{x^{2} + 1} - 1\right) \sin{\left(x \right)} \tan{\left(x^{2} + 1 \right)}}{x^{2} + 1} - \frac{2 x^{2} \left(2 x^{2} \left(\tan^{2}{\left(x^{2} + 1 \right)} + 1\right) \sin{\left(x \right)} + \left(x \cos{\left(x \right)} + 2 \sin{\left(x \right)}\right) \tan{\left(x^{2} + 1 \right)}\right)}{x^{2} + 1} + \left(- x^{2} \sin{\left(x \right)} + 4 x \cos{\left(x \right)} + 2 \sin{\left(x \right)}\right) \tan{\left(x^{2} + 1 \right)}\right)}{\sqrt{x^{2} + 1}}$$
Tercera derivada
[src]
/ / 2 \ / 2 \ \
| | 3*x | / / 2\ 2 / 2/ 2\\ \ 3 | 5*x | / 2\|
| 3*x*|-1 + ------|*\(2*sin(x) + x*cos(x))*tan\1 + x / + 2*x *\1 + tan \1 + x //*sin(x)/ 3*x *|-3 + ------|*sin(x)*tan\1 + x /|
| // 2 \ / 2\ 2 / 2/ 2\ 2 / 2/ 2\\ / 2\\ 2 / 2/ 2\\ \ | 2| | 2| |
| / 2 \ / 2\ 3*x*\\2*sin(x) - x *sin(x) + 4*x*cos(x)/*tan\1 + x / + 2*x *\1 + tan \1 + x / + 4*x *\1 + tan \1 + x //*tan\1 + x //*sin(x) + 4*x *\1 + tan \1 + x //*(2*sin(x) + x*cos(x))/ / 2/ 2\\ / 2 \ / 2/ 2\ 2 / 2/ 2\\ / 2\\ \ 1 + x / 3 / 2/ 2\\ / / 2\ 2 / 2/ 2\\ 2 2/ 2\\ \ 1 + x / |
2*|- \-6*cos(x) + x *cos(x) + 6*x*sin(x)/*tan\1 + x / - ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + 6*x*\1 + tan \1 + x //*\2*sin(x) - x *sin(x) + 4*x*cos(x)/ + 6*x*(2*sin(x) + x*cos(x))*\1 + tan \1 + x / + 4*x *\1 + tan \1 + x //*tan\1 + x // + -------------------------------------------------------------------------------------- + 8*x *\1 + tan \1 + x //*\3*tan\1 + x / + 2*x *\1 + tan \1 + x // + 4*x *tan \1 + x //*sin(x) - -------------------------------------|
| 2 2 2 |
| 1 + x 1 + x / 2\ |
\ \1 + x / /
-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
________
/ 2
\/ 1 + x
$$\frac{2 \left(8 x^{3} \left(\tan^{2}{\left(x^{2} + 1 \right)} + 1\right) \left(2 x^{2} \left(\tan^{2}{\left(x^{2} + 1 \right)} + 1\right) + 4 x^{2} \tan^{2}{\left(x^{2} + 1 \right)} + 3 \tan{\left(x^{2} + 1 \right)}\right) \sin{\left(x \right)} - \frac{3 x^{3} \left(\frac{5 x^{2}}{x^{2} + 1} - 3\right) \sin{\left(x \right)} \tan{\left(x^{2} + 1 \right)}}{\left(x^{2} + 1\right)^{2}} + 6 x \left(x \cos{\left(x \right)} + 2 \sin{\left(x \right)}\right) \left(4 x^{2} \left(\tan^{2}{\left(x^{2} + 1 \right)} + 1\right) \tan{\left(x^{2} + 1 \right)} + \tan^{2}{\left(x^{2} + 1 \right)} + 1\right) + 6 x \left(\tan^{2}{\left(x^{2} + 1 \right)} + 1\right) \left(- x^{2} \sin{\left(x \right)} + 4 x \cos{\left(x \right)} + 2 \sin{\left(x \right)}\right) + \frac{3 x \left(\frac{3 x^{2}}{x^{2} + 1} - 1\right) \left(2 x^{2} \left(\tan^{2}{\left(x^{2} + 1 \right)} + 1\right) \sin{\left(x \right)} + \left(x \cos{\left(x \right)} + 2 \sin{\left(x \right)}\right) \tan{\left(x^{2} + 1 \right)}\right)}{x^{2} + 1} - \frac{3 x \left(4 x^{2} \left(x \cos{\left(x \right)} + 2 \sin{\left(x \right)}\right) \left(\tan^{2}{\left(x^{2} + 1 \right)} + 1\right) + 2 x^{2} \left(4 x^{2} \left(\tan^{2}{\left(x^{2} + 1 \right)} + 1\right) \tan{\left(x^{2} + 1 \right)} + \tan^{2}{\left(x^{2} + 1 \right)} + 1\right) \sin{\left(x \right)} + \left(- x^{2} \sin{\left(x \right)} + 4 x \cos{\left(x \right)} + 2 \sin{\left(x \right)}\right) \tan{\left(x^{2} + 1 \right)}\right)}{x^{2} + 1} - \left(x^{2} \cos{\left(x \right)} + 6 x \sin{\left(x \right)} - 6 \cos{\left(x \right)}\right) \tan{\left(x^{2} + 1 \right)}\right)}{\sqrt{x^{2} + 1}}$$
Gráfico