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Derivative of:
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Derivative of cos(3)^(2)*x-sin(3)^(2)*x
Identical expressions
- two *x^ three + eighteen *x
minus 2 multiply by x cubed plus 18 multiply by x
minus two multiply by x to the power of three plus eighteen multiply by x
-2*x3+18*x
-2*x³+18*x
-2*x to the power of 3+18*x
-2x^3+18x
-2x3+18x
Similar expressions
2*x^3+18*x
-2*x^3-18*x

The derivative of the function/ -2*x^3+18*x

Derivative of -2x^3+18x

The solution

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     3       
- 2*x  + 18*x

$$- 2 x^{3} + 18 x$$

-2*x^3 + 18*x

Detail solution

Differentiate $- 2 x^{3} + 18 x$ 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: $x^{3}$ goes to $3 x^{2}$
  So, the result is: $- 6 x^{2}$
2. The derivative of a constant times a function is the constant times the derivative of the function.
  1. Apply the power rule: $x$ goes to $1$
  So, the result is: $18$
The result is: $18 - 6 x^{2}$

The answer is:

$18 - 6 x^{2}$

The graph

Plot the graph f(x)

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The first derivative [src]

        2
18 - 6*x

$$18 - 6 x^{2}$$

Simplify

The second derivative [src]

-12*x

$$- 12 x$$

Simplify

The third derivative [src]

-12

$$-12$$

Simplify

The graph

Derivative of -2*x^3+18*x