What is the derivative of x^2+10x+25 ?

The derivative of x^2+10x+25 is 2x+10

What is the first derivative of x^2+10x+25 ?

The first derivative of x^2+10x+25 is 2x+10

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\frac{d}{d x} (x^{2} + 10 x + 25)

2 x + 10

Solution steps

\frac{d}{d x} (x^{2} + 10 x + 25)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{2}) + \frac{d}{d x} (10 x) + \frac{d}{d x} (25)

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

\frac{d}{d x} (10 x) = 10

\frac{d}{d x} (25) = 0

= 2 x + 10 + 0

Simplify

= 2 x + 10

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What is the derivative of x^2+10x+25 ?
The derivative of x^2+10x+25 is 2x+10
What is the first derivative of x^2+10x+25 ?
The first derivative of x^2+10x+25 is 2x+10