Mister Exam

Other calculators

3x^4-2
The derivative of the function/ 3x^4-2

Derivative of 3x^4-2

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
   4    
3*x  - 2
3x4−23 x^{4} - 2 
d /   4    \
--\3*x  - 2/
dx
ddx(3x4−2)\frac{d}{d x} \left(3 x^{4} - 2\right)
Transform
Detail solution

  1. Differentiate 3x4−23 x^{4} - 2 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: x4x^{4} goes to 4x34 x^{3}

      So, the result is: 12x312 x^{3}

    2. The derivative of the constant (−1)2\left(-1\right) 2 is zero.

    The result is: 12x312 x^{3}

The answer is:

12x312 x^{3}

The graph
02468-8-6-4-2-1010-5000050000
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
    3
12*x
12x312 x^{3}
Simplify
The second derivative [src] 
    2
36*x
36x236 x^{2}
Simplify
3-th derivative [src] 
72*x
72x72 x
Simplify
The third derivative [src] 
72*x
72x72 x
Simplify
The graph
Derivative of 3x^4-2
    © Mister Exam – Calculator