Derivative of -4x^2cosx

You have entered [src]

    2       
-4*x *cos(x)

$$- 4 x^{2} \cos{\left(x \right)}$$

Transform

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

                 2       
-8*x*cos(x) + 4*x *sin(x)

$$4 x^{2} \sin{\left(x \right)} - 8 x \cos{\left(x \right)}$$

Simplify

The second derivative [src]

  /             2                    \
4*\-2*cos(x) + x *cos(x) + 4*x*sin(x)/

$$4 \left(x^{2} \cos{\left(x \right)} + 4 x \sin{\left(x \right)} - 2 \cos{\left(x \right)}\right)$$

Simplify

The third derivative [src]

  /            2                    \
4*\6*sin(x) - x *sin(x) + 6*x*cos(x)/

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

Simplify

The graph