Mister Exam

Derivative of y=x³+2x-1

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

The graph:

from to

Piecewise:

The solution

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

    1. Apply the power rule: goes to

    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:

    3. The derivative of the constant is zero.

    The result is:


The answer is:

The graph
The first derivative [src]
       2
2 + 3*x 
$$3 x^{2} + 2$$
The second derivative [src]
6*x
$$6 x$$
The third derivative [src]
6
$$6$$
The graph
Derivative of y=x³+2x-1