Mister Exam

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

Derivative of x^2+5x

The solution

You have entered [src]

 2      
x  + 5*x

$$x^{2} + 5 x$$

x^2 + 5*x

Detail solution

Differentiate $x^{2} + 5 x$ 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: $5$
The result is: $2 x + 5$

The answer is:

$2 x + 5$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

5 + 2*x

$$2 x + 5$$

Simplify

The second derivative [src]

$$2$$

Simplify

The third derivative [src]

$$0$$

Simplify

The graph

Derivative of x^2+5x