Mister Exam

Other calculators

y=2x³
The derivative of the function/ y=2x³

Derivative of y=2x³

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
   3
2*x
$$2 x^{3}$$ 
d /   3\
--\2*x /
dx
$$\frac{d}{d x} 2 x^{3}$$
Transform
Detail solution

  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:

The answer is:

The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
   2
6*x
$$6 x^{2}$$
Simplify
The second derivative [src] 
12*x
$$12 x$$
Simplify
The third derivative [src] 
12
$$12$$
Simplify
The graph
Derivative of y=2x³
    © Mister Exam – Calculator