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Derivative of:
Derivative of x^4-x^2
Derivative of arcsin(x)^sqrt(1-x^2)
Derivative of y=x³-5x²+7
Derivative of y=sin³5x
Graphing y =:
x^4-x^2
Factor polynomial:
x^4-x^2
Integral of d{x}:
x^4-x^2
Identical expressions
x^ four -x^ two
x to the power of 4 minus x squared
x to the power of four minus x to the power of two
x4-x2
x⁴-x²
x to the power of 4-x to the power of 2
Similar expressions
y=sinx/(x^4-x^2)
y=tg2x(4x^4-x^2+3x)
x^4+x^2

The derivative of the function/ x^4-x^2

Derivative of x^4-x^2

The solution

You have entered [src]

 4    2
x  - x

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

x^4 - x^2

Detail solution

Differentiate $x^{4} - x^{2}$ term by term:
1. Apply the power rule: $x^{4}$ goes to $4 x^{3}$
2. 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: $- 2 x$
The result is: $4 x^{3} - 2 x$

The answer is:

$4 x^{3} - 2 x$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

          3
-2*x + 4*x

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

Simplify

The second derivative [src]

  /        2\
2*\-1 + 6*x /

$$2 \left(6 x^{2} - 1\right)$$

Simplify

The third derivative [src]

24*x

$$24 x$$

Simplify

The graph

Derivative of x^4-x^2