Mister Exam

Derivative of 4sinx-6x+7

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
4*sin(x) - 6*x + 7
$$\left(- 6 x + 4 \sin{\left(x \right)}\right) + 7$$
4*sin(x) - 6*x + 7
Detail solution
  1. Differentiate term by term:

    1. Differentiate term by term:

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

        1. The derivative of sine is cosine:

        So, the result is:

      2. 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 result is:

    2. The derivative of the constant is zero.

    The result is:


The answer is:

The graph
The first derivative [src]
-6 + 4*cos(x)
$$4 \cos{\left(x \right)} - 6$$
The second derivative [src]
-4*sin(x)
$$- 4 \sin{\left(x \right)}$$
The third derivative [src]
-4*cos(x)
$$- 4 \cos{\left(x \right)}$$
The graph
Derivative of 4sinx-6x+7