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2x^3-9x^2-60x+1

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Derivative of:
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Identical expressions
two x^ three -9x^2-60x+ one
2x cubed minus 9x squared minus 60x plus 1
two x to the power of three minus 9x squared minus 60x plus one
2x3-9x2-60x+1
2x³-9x²-60x+1
2x to the power of 3-9x to the power of 2-60x+1
Similar expressions
2x^3+9x^2-60x+1
2x^3-9x^2-60x-1
2x^3-9x^2+60x+1

The derivative of the function/ 2x^3-9x^2-60x+1

Derivative of 2x^3-9x^2-60x+1

The solution

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   3      2           
2*x  - 9*x  - 60*x + 1

$$2 x^{3} - 9 x^{2} - 60 x + 1$$

d /   3      2           \
--\2*x  - 9*x  - 60*x + 1/
dx

$$\frac{d}{d x} \left(2 x^{3} - 9 x^{2} - 60 x + 1\right)$$

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Detail solution

Differentiate $2 x^{3} - 9 x^{2} - 60 x + 1$ 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. The derivative of a constant times a function is the constant times the derivative of the function.
    1. Apply the power rule: $x^{2}$ goes to $2 x$
    So, the result is: $18 x$
  So, the result is: $- 18 x$
3. The derivative of a constant times a function is the constant times the derivative of the function.
  1. 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: $60$
  So, the result is: $-60$
4. The derivative of the constant $1$ is zero.
The result is: $6 x^{2} - 18 x - 60$

The answer is:

$6 x^{2} - 18 x - 60$

The graph

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The first derivative [src]

                2
-60 - 18*x + 6*x

$$6 x^{2} - 18 x - 60$$

Simplify

The second derivative [src]

6*(-3 + 2*x)

$$6 \cdot \left(2 x - 3\right)$$

Simplify

The third derivative [src]

$$12$$

Simplify

The graph

Derivative of 2x^3-9x^2-60x+1