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y=x^4-x^5

Derivative of y=x^4-x^5

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
 4    5
x  - x 
$$- x^{5} + x^{4}$$
d / 4    5\
--\x  - x /
dx         
$$\frac{d}{d x} \left(- x^{5} + x^{4}\right)$$
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
The first derivative [src]
     4      3
- 5*x  + 4*x 
$$- 5 x^{4} + 4 x^{3}$$
The second derivative [src]
   2          
4*x *(3 - 5*x)
$$4 x^{2} \cdot \left(- 5 x + 3\right)$$
The third derivative [src]
12*x*(2 - 5*x)
$$12 x \left(- 5 x + 2\right)$$
The graph
Derivative of y=x^4-x^5