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Derivative of:
Derivative of 1/x^10
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Derivative of -2x
Identical expressions
x^ five -x^ two
x to the power of 5 minus x squared
x to the power of five minus x to the power of two
x5-x2
x⁵-x²
x to the power of 5-x to the power of 2
Similar expressions
x^5+x^2

The derivative of the function/ x^5-x^2

Derivative of x^5-x^2

The solution

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 5    2
x  - x

$$x^{5} - x^{2}$$

d / 5    2\
--\x  - x /
dx

$$\frac{d}{d x} \left(x^{5} - x^{2}\right)$$

Transform

Detail solution

Differentiate $x^{5} - x^{2}$ term by term:
1. Apply the power rule: $x^{5}$ goes to $5 x^{4}$
2. The derivative of a constant times a function is the constant times the derivative of the function.
  1. Apply the power rule: $x^{2}$ goes to $2 x$
  So, the result is: $- 2 x$
The result is: $5 x^{4} - 2 x$
Now simplify:

$x \left(5 x^{3} - 2\right)$

The answer is:

$x \left(5 x^{3} - 2\right)$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

          4
-2*x + 5*x

$$5 x^{4} - 2 x$$

Simplify

The second derivative [src]

  /         3\
2*\-1 + 10*x /

$$2 \cdot \left(10 x^{3} - 1\right)$$

Simplify

The third derivative [src]

    2
60*x

$$60 x^{2}$$

Simplify

The graph

Derivative of x^5-x^2