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)
5log(0.0)(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 x+1x + 1 term by term:

      1. Apply the power rule: xx goes to 11

      2. The derivative of the constant 11 is zero.

      The result is: 11

    So, the result is: 5log(0.0)5 \log{\left(0.0 \right)}

  2. Now simplify:

    ~\tilde{\infty}


The answer is:

~\tilde{\infty}

The graph
02468-8-6-4-2-10100.02-0.02
The first derivative [src]
log(0.0)*5
5log(0.0)5 \log{\left(0.0 \right)}
The second derivative [src]
nan
NaN\text{NaN}
The third derivative [src]
nan
NaN\text{NaN}