Mister Exam

Derivative of 2x^2+3x

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
   2      
2*x  + 3*x
$$2 x^{2} + 3 x$$
d /   2      \
--\2*x  + 3*x/
dx            
$$\frac{d}{d x} \left(2 x^{2} + 3 x\right)$$
Detail solution
  1. Differentiate 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: goes to

      So, the result is:

    2. 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 result is:


The answer is:

The graph
The first derivative [src]
3 + 4*x
$$4 x + 3$$
The second derivative [src]
4
$$4$$
The third derivative [src]
0
$$0$$
The graph
Derivative of 2x^2+3x