Mister Exam

Other calculators

x^5+sinx
The derivative of the function/ x^5+sinx

Derivative of x^5+sinx

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 5         
x  + sin(x)
$$x^{5} + \sin{\left(x \right)}$$ 
x^5 + sin(x)
Detail solution

  1. Differentiate term by term:

    1. Apply the power rule: goes to

    2. The derivative of sine is cosine:

    The result is:

The answer is:

The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
   4         
5*x  + cos(x)
$$5 x^{4} + \cos{\left(x \right)}$$
Simplify
The second derivative [src] 
              3
-sin(x) + 20*x
$$20 x^{3} - \sin{\left(x \right)}$$
Simplify
The third derivative [src] 
              2
-cos(x) + 60*x
$$60 x^{2} - \cos{\left(x \right)}$$
Simplify
The graph
Derivative of x^5+sinx
    © Mister Exam – Calculator