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e^2*cos(y)
The derivative of the function/ e^2*cos(y)

Derivative of e^2*cos(y)

Function f() - derivative -N order at the point
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 2       
E *cos(y)
e2cos⁡(y)e^{2} \cos{\left(y \right)} 
E^2*cos(y)
Detail solution

  1. 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:

      ddycos⁡(y)=−sin⁡(y)\frac{d}{d y} \cos{\left(y \right)} = - \sin{\left(y \right)}

    So, the result is: −e2sin⁡(y)- e^{2} \sin{\left(y \right)}

The answer is:

−e2sin⁡(y)- e^{2} \sin{\left(y \right)}

The graph
02468-8-6-4-2-1010-2020
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
  2       
-e *sin(y)
−e2sin⁡(y)- e^{2} \sin{\left(y \right)}
Simplify
The second derivative [src] 
         2
-cos(y)*e
−e2cos⁡(y)- e^{2} \cos{\left(y \right)}
Simplify
The third derivative [src] 
 2       
e *sin(y)
e2sin⁡(y)e^{2} \sin{\left(y \right)}
Simplify
The graph
Derivative of e^2*cos(y)
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