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Derivative of:
Derivative of 6
Derivative of 2/sqrt(x)
Derivative of (x^2-1)/(x^2+1)
Derivative of x*e^(-x^2)
Differential equation:
y'
Identical expressions
y'=(4x^ three -8x)
y stroke first (1st) order equally (4x cubed minus 8x)
y stroke first (1st) order equally (4x to the power of three minus 8x)
y'=(4x3-8x)
y'=4x3-8x
y'=(4x³-8x)
y'=(4x to the power of 3-8x)
y'=4x^3-8x
Similar expressions
f(x)=x^4-4x^3-8x^2+13
y=x^4+4x^3-8x^2-4
y(x)=x^4+4x^3-8x^2
y=x^4-4x^3-8x^2+1
y'=(4x^3+8x)
(4*x^3-8*x)/(5-8*x^2)

The derivative of the function/ y'=(4x^3-8x)

Derivative of y'=(4x^3-8x)

The solution

You have entered [src]

   3      
4*x  - 8*x

$$4 x^{3} - 8 x$$

4*x^3 - 8*x

Detail solution

Differentiate $4 x^{3} - 8 x$ 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: $12 x^{2}$
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: $-8$
The result is: $12 x^{2} - 8$

The answer is:

$12 x^{2} - 8$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

         2
-8 + 12*x

$$12 x^{2} - 8$$

Simplify

The second derivative [src]

24*x

$$24 x$$

Simplify

The third derivative [src]

$$24$$

Simplify