Mister Exam

Other calculators

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

Derivative of x+sinx

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
x + sin(x)
$$x + \sin{\left(x \right)}$$ 
x + 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] 
1 + cos(x)
$$\cos{\left(x \right)} + 1$$
Simplify
The second derivative [src] 
-sin(x)
$$- \sin{\left(x \right)}$$
Simplify
The third derivative [src] 
-cos(x)
$$- \cos{\left(x \right)}$$
Simplify
The graph
Derivative of x+sinx
    © Mister Exam – Calculator