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Derivative of:
Derivative of 4/x^3
Derivative of x^6/6
Derivative of x^3/x
Derivative of (x-3)^4
Graphing y =:
x^4+2*x^2
Limit of the function:
x^4+2*x^2
Identical expressions
x^ four + two *x^ two
x to the power of 4 plus 2 multiply by x squared
x to the power of four plus two multiply by x to the power of two
x4+2*x2
x⁴+2*x²
x to the power of 4+2*x to the power of 2
x^4+2x^2
x4+2x2
Similar expressions
x^4-2*x^2
y=x^4+2x^2-x
2x^5+3x^4+2x^2+3x
5x^4+2x^2+5x

The derivative of the function/ x^4+2*x^2

Derivative of x^4+2*x^2

The solution

You have entered [src]

 4      2
x  + 2*x

$$x^{4} + 2 x^{2}$$

x^4 + 2*x^2

Detail solution

Differentiate $x^{4} + 2 x^{2}$ 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: $4 x$
The result is: $4 x^{3} + 4 x$
Now simplify:

$4 x \left(x^{2} + 1\right)$

The answer is:

$4 x \left(x^{2} + 1\right)$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

         3
4*x + 4*x

$$4 x^{3} + 4 x$$

Simplify

The second derivative [src]

  /       2\
4*\1 + 3*x /

$$4 \left(3 x^{2} + 1\right)$$

Simplify

The third derivative [src]

24*x

$$24 x$$

Simplify

The graph

Derivative of x^4+2*x^2