Mister Exam

Other calculators

y=x^4cos(4)
The derivative of the function/ y=x^4cos(4)

Derivative of y=x^4cos(4)

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 4       
x *cos(4)
$$x^{4} \cos{\left(4 \right)}$$
Transform
Detail solution

  1. The derivative of a constant times a function is the constant times the derivative of the function.

    1. Apply the power rule: goes to

    So, the result is:

The answer is:

The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
   3       
4*x *cos(4)
$$4 x^{3} \cos{\left(4 \right)}$$
Simplify
The second derivative [src] 
    2       
12*x *cos(4)
$$12 x^{2} \cos{\left(4 \right)}$$
Simplify
The third derivative [src] 
24*x*cos(4)
$$24 x \cos{\left(4 \right)}$$
Simplify
The graph
Derivative of y=x^4cos(4)
    © Mister Exam – Calculator