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 e^-1
-
Derivada de (x^2)'
-
Derivada de y
-
Derivada de (x^5+1)
-
Expresiones idénticas
- y=log(tres)frac(uno \cos)
- y es igual a logaritmo de (3)frac(1\ coseno de )
- y es igual a logaritmo de (tres)frac(uno \ coseno de )
- y=log3frac1\cos
-
Expresiones con funciones
- Logaritmo log
- log(x^-1)
- log(log(x))
- log(x^4+x)
- log(e)^x
- log(e^x)
- Coseno cos
- cos(x)/2
- cosx/lnx
- cos(x)^(1/2)
- cos(x)*log(x)
- cos(x)^(23)
Derivada de y=log(3)frac(1\cos)
Solución
Ha introducido
[src]
/ 1 \
log(3)*frac|------|
\cos(x)/
$$\log{\left(3 \right)} \operatorname{frac}{\left(\frac{1}{\cos{\left(x \right)}}\right)}$$
log(3)*frac(1/cos(x))
Primera derivada
[src]
/ d \|
|-----(frac(xi_1))|| 1 *log(3)*sin(x)
\dxi_1 /|xi_1=------
cos(x)
---------------------------------------------
2
cos (x)
$$\frac{\log{\left(3 \right)} \sin{\left(x \right)} \left. \frac{d}{d \xi_{1}} \operatorname{frac}{\left(\xi_{1}\right)} \right|_{\substack{ \xi_{1}=\frac{1}{\cos{\left(x \right)}} }}}{\cos^{2}{\left(x \right)}}$$
Segunda derivada
[src]
/ / 2 \| \
| 2 | d || |
|sin (x)*|------(frac(xi_1))|| 2 / d \| |
| | 2 || 1 2*sin (x)*|-----(frac(xi_1))|| 1 |
| \dxi_1 /|xi_1=------ \dxi_1 /|xi_1=------ |
| cos(x) cos(x) / d \| |
|---------------------------------------- + ----------------------------------------- + |-----(frac(xi_1))|| 1 |*log(3)
| 3 2 \dxi_1 /|xi_1=------|
\ cos (x) cos (x) cos(x)/
-------------------------------------------------------------------------------------------------------------------------------
cos(x)
$$\frac{\left(\frac{2 \sin^{2}{\left(x \right)} \left. \frac{d}{d \xi_{1}} \operatorname{frac}{\left(\xi_{1}\right)} \right|_{\substack{ \xi_{1}=\frac{1}{\cos{\left(x \right)}} }}}{\cos^{2}{\left(x \right)}} + \frac{\sin^{2}{\left(x \right)} \left. \frac{d^{2}}{d \xi_{1}^{2}} \operatorname{frac}{\left(\xi_{1}\right)} \right|_{\substack{ \xi_{1}=\frac{1}{\cos{\left(x \right)}} }}}{\cos^{3}{\left(x \right)}} + \left. \frac{d}{d \xi_{1}} \operatorname{frac}{\left(\xi_{1}\right)} \right|_{\substack{ \xi_{1}=\frac{1}{\cos{\left(x \right)}} }}\right) \log{\left(3 \right)}}{\cos{\left(x \right)}}$$
Tercera derivada
[src]
/ / 2 \| / 3 \| / 2 \| \
| | d || 2 | d || 2 | d || |
| 3*|------(frac(xi_1))|| sin (x)*|------(frac(xi_1))|| 6*sin (x)*|------(frac(xi_1))|| 2 / d \| |
| | 2 || 1 | 3 || 1 | 2 || 1 6*sin (x)*|-----(frac(xi_1))|| 1 |
| \dxi_1 /|xi_1=------ \dxi_1 /|xi_1=------ \dxi_1 /|xi_1=------ \dxi_1 /|xi_1=------|
| / d \| cos(x) cos(x) cos(x) cos(x)|
|5*|-----(frac(xi_1))|| 1 + ---------------------------------- + ---------------------------------------- + ------------------------------------------ + -----------------------------------------|*log(3)*sin(x)
| \dxi_1 /|xi_1=------ cos(x) 4 3 2 |
\ cos(x) cos (x) cos (x) cos (x) /
--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
2
cos (x)
$$\frac{\left(\frac{6 \sin^{2}{\left(x \right)} \left. \frac{d}{d \xi_{1}} \operatorname{frac}{\left(\xi_{1}\right)} \right|_{\substack{ \xi_{1}=\frac{1}{\cos{\left(x \right)}} }}}{\cos^{2}{\left(x \right)}} + \frac{6 \sin^{2}{\left(x \right)} \left. \frac{d^{2}}{d \xi_{1}^{2}} \operatorname{frac}{\left(\xi_{1}\right)} \right|_{\substack{ \xi_{1}=\frac{1}{\cos{\left(x \right)}} }}}{\cos^{3}{\left(x \right)}} + \frac{\sin^{2}{\left(x \right)} \left. \frac{d^{3}}{d \xi_{1}^{3}} \operatorname{frac}{\left(\xi_{1}\right)} \right|_{\substack{ \xi_{1}=\frac{1}{\cos{\left(x \right)}} }}}{\cos^{4}{\left(x \right)}} + 5 \left. \frac{d}{d \xi_{1}} \operatorname{frac}{\left(\xi_{1}\right)} \right|_{\substack{ \xi_{1}=\frac{1}{\cos{\left(x \right)}} }} + \frac{3 \left. \frac{d^{2}}{d \xi_{1}^{2}} \operatorname{frac}{\left(\xi_{1}\right)} \right|_{\substack{ \xi_{1}=\frac{1}{\cos{\left(x \right)}} }}}{\cos{\left(x \right)}}\right) \log{\left(3 \right)} \sin{\left(x \right)}}{\cos^{2}{\left(x \right)}}$$