What is the derivative of x^2+2x+5 ?

The derivative of x^2+2x+5 is 2x+2

What is the first derivative of x^2+2x+5 ?

The first derivative of x^2+2x+5 is 2x+2

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\frac{d}{d x} (x^{2} + 2 x + 5)

2 x + 2

Solution steps

\frac{d}{d x} (x^{2} + 2 x + 5)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (x^{2}) + \frac{d}{d x} (2 x) + \frac{d}{d x} (5)

\frac{d}{d x} (x^{2}) = 2 x

\frac{d}{d x} (2 x) = 2

\frac{d}{d x} (5) = 0

= 2 x + 2 + 0

Simplify

= 2 x + 2

x \to 0 + lim (\frac{1}{x ^{5}})

\int \frac{x}{1 - x ^{4}} d x

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\int \frac{25}{x ^{2}} d x

\int r e^{\frac{r}{2}} d r

What is the derivative of x^2+2x+5 ?
The derivative of x^2+2x+5 is 2x+2
What is the first derivative of x^2+2x+5 ?
The first derivative of x^2+2x+5 is 2x+2