What is the derivative of 5x^2+1 ?

The derivative of 5x^2+1 is 10x

What is the first derivative of 5x^2+1 ?

The first derivative of 5x^2+1 is 10x

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\frac{d}{d x} (5 x^{2} + 1)

10 x

Solution steps

\frac{d}{d x} (5 x^{2} + 1)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (5 x^{2}) + \frac{d}{d x} (1)

\frac{d}{d x} (5 x^{2}) = 10 x

\frac{d}{d x} (1) = 0

= 10 x + 0

Simplify

= 10 x

f (x) = x^{2} + \frac{4}{x} - 10, at x = 8

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