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Derivative of:
Derivative of c
Derivative of x^4+cosx+3sinx
Derivative of (x+4)^2(x+1)+9
Derivative of x^3*x^2
Integral of d{x}:
x^3*x^2
Graphing y =:
x^3*x^2
Identical expressions
x^ three *x^ two
x cubed multiply by x squared
x to the power of three multiply by x to the power of two
x3*x2
x³*x²
x to the power of 3*x to the power of 2
x^3x^2
x3x2

The derivative of the function/ x^3*x^2

Derivative of x^3*x^2

The solution

You have entered [src]

 3  2
x *x

$$x^{2} x^{3}$$

x^3*x^2

Detail solution

Apply the product rule:

$\frac{d}{d x} f{\left(x \right)} g{\left(x \right)} = f{\left(x \right)} \frac{d}{d x} g{\left(x \right)} + g{\left(x \right)} \frac{d}{d x} f{\left(x \right)}$

$f{\left(x \right)} = x^{3}$ ; to find $\frac{d}{d x} f{\left(x \right)}$ :
1. Apply the power rule: $x^{3}$ goes to $3 x^{2}$
$g{\left(x \right)} = x^{2}$ ; to find $\frac{d}{d x} g{\left(x \right)}$ :
1. Apply the power rule: $x^{2}$ goes to $2 x$
The result is: $5 x^{4}$

The answer is:

$5 x^{4}$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

   4
5*x

$$5 x^{4}$$

Simplify

The second derivative [src]

    3
20*x

$$20 x^{3}$$

Simplify

The third derivative [src]

    2
60*x

$$60 x^{2}$$

Simplify

The graph

Derivative of x^3*x^2