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y=-2x^3+1
The derivative of the function/ y=-2x^3+1

Derivative of y=-2x^3+1

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
     3    
- 2*x  + 1
$$1 - 2 x^{3}$$ 
d /     3    \
--\- 2*x  + 1/
dx
$$\frac{d}{d x} \left(1 - 2 x^{3}\right)$$
Transform
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 the constant is zero.

    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=-2x^3+1
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