Mister Exam

Derivative of log0,5(x+1)

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
log(0.0)*5*(x + 1)
$$5 \log{\left(0.0 \right)} \left(x + 1\right)$$
(log(0.0)*5)*(x + 1)
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. Apply the power rule: goes to

      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]
log(0.0)*5
$$5 \log{\left(0.0 \right)}$$
The second derivative [src]
nan
$$\text{NaN}$$
The third derivative [src]
nan
$$\text{NaN}$$