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The derivative of the function/ x^2+7x

Derivative of x^2+7x

The solution

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 2      
x  + 7*x

x^{2} + 7 x

d / 2      \
--\x  + 7*x/
dx

\frac{d}{d x} \left(x^{2} + 7 x\right)

Transform

Detail solution

Differentiate $x^{2} + 7 x$ 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: $7$
The result is: $2 x + 7$

The answer is:

2 x + 7

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

7 + 2*x

2 x + 7

Simplify

The second derivative [src]

2

Simplify

The third derivative [src]

0

Simplify

The graph

Derivative of x^2+7x