Mister Exam

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The derivative of the function/ x^2-10x

Derivative of x^2-10x

The solution

You have entered [src]

 2       
x  - 10*x

$$x^{2} - 10 x$$

x^2 - 10*x

Detail solution

Differentiate $x^{2} - 10 x$ term by term:
1. Apply the power rule: $x^{2}$ goes to $2 x$
2. The derivative of a constant times a function is the constant times the derivative of the function.
  1. Apply the power rule: $x$ goes to $1$
  So, the result is: $-10$
The result is: $2 x - 10$

The answer is:

$2 x - 10$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

-10 + 2*x

$$2 x - 10$$

Simplify

The second derivative [src]

$$2$$

Simplify

The third derivative [src]

$$0$$

Simplify