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Derivative of:
Derivative of x^2+3x
Derivative of x^2-3*x+2
Derivative of (x^2-1)*(x^4+2)
Derivative of (x-1)/2
Integral of d{x}:
x^3-4x+7
Graphing y =:
x^3-4x+7
Identical expressions
x^ three -4x+ seven
x cubed minus 4x plus 7
x to the power of three minus 4x plus seven
x3-4x+7
x³-4x+7
x to the power of 3-4x+7
Similar expressions
x^3-4x-7
x^3+4x+7

The derivative of the function/ x^3-4x+7

Derivative of x^3-4x+7

The solution

You have entered [src]

 3          
x  - 4*x + 7

$$\left(x^{3} - 4 x\right) + 7$$

x^3 - 4*x + 7

Detail solution

Differentiate $\left(x^{3} - 4 x\right) + 7$ term by term:
1. Differentiate $x^{3} - 4 x$ 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: $-4$
  The result is: $3 x^{2} - 4$
2. The derivative of the constant $7$ is zero.
The result is: $3 x^{2} - 4$

The answer is:

$3 x^{2} - 4$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

        2
-4 + 3*x

$$3 x^{2} - 4$$

Simplify

The second derivative [src]

6*x

$$6 x$$

Simplify

The third derivative [src]

$$6$$

Simplify

The graph

Derivative of x^3-4x+7