Mister Exam

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Derivative of e^2*cos(y)

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 2       
E *cos(y)

$$e^{2} \cos{\left(y \right)}$$

E^2*cos(y)

Detail solution

The derivative of a constant times a function is the constant times the derivative of the function.
1. The derivative of cosine is negative sine:
  
  $\frac{d}{d y} \cos{\left(y \right)} = - \sin{\left(y \right)}$
So, the result is: $- e^{2} \sin{\left(y \right)}$

The answer is:

$- e^{2} \sin{\left(y \right)}$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

  2       
-e *sin(y)

$$- e^{2} \sin{\left(y \right)}$$

Simplify

The second derivative [src]

         2
-cos(y)*e

$$- e^{2} \cos{\left(y \right)}$$

Simplify

The third derivative [src]

 2       
e *sin(y)

$$e^{2} \sin{\left(y \right)}$$

Simplify

The graph