Mister Exam

Other calculators


y=x^3*log(2)*x

Derivative of y=x^3*log(2)*x

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

The graph:

from to

Piecewise:

The solution

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

    1. Apply the product rule:

      ; to find :

      1. Apply the power rule: goes to

      ; to find :

      1. Apply the power rule: goes to

      The result is:

    So, the result is:


The answer is:

The graph
The first derivative [src]
   3       
4*x *log(2)
$$4 x^{3} \log{\left(2 \right)}$$
The second derivative [src]
    2       
12*x *log(2)
$$12 x^{2} \log{\left(2 \right)}$$
The third derivative [src]
24*x*log(2)
$$24 x \log{\left(2 \right)}$$
The graph
Derivative of y=x^3*log(2)*x