Mister Exam

Derivative of log2*(5x+3)

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
log(2)*(5*x + 3)
$$\left(5 x + 3\right) \log{\left(2 \right)}$$
log(2)*(5*x + 3)
Detail solution
  1. The derivative of a constant times a function is the constant times the derivative of the function.

    1. Differentiate term by term:

      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:

      2. The derivative of the constant is zero.

      The result is:

    So, the result is:

  2. Now simplify:


The answer is:

The graph
The first derivative [src]
5*log(2)
$$5 \log{\left(2 \right)}$$
The second derivative [src]
0
$$0$$
The third derivative [src]
0
$$0$$