What is the first derivative of 7x-5 ?

The first derivative of 7x-5 is 7

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derivative of 7x-5

\frac{d}{d x} (7 x - 5)

7

Solution steps

\frac{d}{d x} (7 x - 5)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (7 x) - \frac{d}{d x} (5)

\frac{d}{d x} (7 x) = 7

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

= 7 - 0

Simplify

= 7

\int_{0}^{4} x^{\frac{3}{2}} d x

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