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Derivative of:
Derivative of (x+5)/(x+1)
Derivative of x*2^x
Derivative of e^sin(x)*cos(x)
Derivative of atan(3*x)
Graphing y =:
x^3-3x-7
Identical expressions
x^ three -3x- seven
x cubed minus 3x minus 7
x to the power of three minus 3x minus seven
x3-3x-7
x³-3x-7
x to the power of 3-3x-7
Similar expressions
x^3-3x+7
x^3+3x-7

The derivative of the function/ x^3-3x-7

Derivative of x^3-3x-7

The solution

You have entered [src]

 3          
x  - 3*x - 7

$$\left(x^{3} - 3 x\right) - 7$$

x^3 - 3*x - 7

Detail solution

Differentiate $\left(x^{3} - 3 x\right) - 7$ term by term:
1. Differentiate $x^{3} - 3 x$ term by term:
  1. Apply the power rule: $x^{3}$ goes to $3 x^{2}$
  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: $-3$
  The result is: $3 x^{2} - 3$
2. The derivative of the constant $-7$ is zero.
The result is: $3 x^{2} - 3$

The answer is:

$3 x^{2} - 3$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

        2
-3 + 3*x

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

Simplify

The second derivative [src]

6*x

$$6 x$$

Simplify

The third derivative [src]

$$6$$

Simplify