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Derivative of:
Derivative of x^2*atanh(x)*acoth(x)
Derivative of e^(x*(-3))
Derivative of coth(x)/tanh(x)
Derivative of 2^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
y(x)=x^4+4x^3-8x^2
y=x^4+4x^3-8x^2-4
y'=(4x^3+8x)
(4*x^3-8*x)/(5-8*x^2)
y=x^4-4x^3-8x^2+1
f(x)=x^4-4x^3-8x^2+13

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