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Derivative of:
Derivative of e^2*x
Derivative of x^sin(x)
Derivative of sqrt(x^2+1)
Derivative of 4/x^2
Graphing y =:
x^4+2x^3
Identical expressions
y=x^ four +2x^ three
y equally x to the power of 4 plus 2x cubed
y equally x to the power of four plus 2x to the power of three
y=x4+2x3
y=x⁴+2x³
y=x to the power of 4+2x to the power of 3
Similar expressions
y=x^4-2x^3

The derivative of the function/ y=x^4+2x^3

Derivative of y=x^4+2x^3

The solution

You have entered [src]

 4      3
x  + 2*x

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

x^4 + 2*x^3

Detail solution

Differentiate $x^{4} + 2 x^{3}$ 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: $x^{3}$ goes to $3 x^{2}$
  So, the result is: $6 x^{2}$
The result is: $4 x^{3} + 6 x^{2}$
Now simplify:

$x^{2} \left(4 x + 6\right)$

The answer is:

$x^{2} \left(4 x + 6\right)$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

   3      2
4*x  + 6*x

$$4 x^{3} + 6 x^{2}$$

Simplify

The second derivative [src]

12*x*(1 + x)

$$12 x \left(x + 1\right)$$

Simplify

The third derivative [src]

12*(1 + 2*x)

$$12 \left(2 x + 1\right)$$

Simplify

The graph

Derivative of y=x^4+2x^3