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x^4-x^9
The derivative of the function/ x^4-x^9

Derivative of x^4-x^9

Function f() - derivative -N order at the point
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 4    9
x  - x
$$- x^{9} + x^{4}$$ 
d / 4    9\
--\x  - x /
dx
$$\frac{d}{d x} \left(- x^{9} + x^{4}\right)$$
Transform
Detail solution

  1. Differentiate term by term:

    1. Apply the power rule: goes to

    2. The derivative of a constant times a function is the constant times the derivative of the function.

      1. Apply the power rule: goes to

      So, the result is:

    The result is:

  2. Now simplify:

The answer is:

The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
     8      3
- 9*x  + 4*x
$$- 9 x^{8} + 4 x^{3}$$
Simplify
The second derivative [src] 
    2 /       5\
12*x *\1 - 6*x /
$$12 x^{2} \cdot \left(1 - 6 x^{5}\right)$$
Simplify
The third derivative [src] 
     /        5\
24*x*\1 - 21*x /
$$24 x \left(1 - 21 x^{5}\right)$$
Simplify
The graph
Derivative of x^4-x^9
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