What is the first derivative of 5x+4^5 ?

The first derivative of 5x+4^5 is 5

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derivative of 5x+4^5

derivative of

5 x + 4^{5}

5

Solution steps

\frac{d}{d x} (5 x + 4^{5})

Simplify

5 x + 4^{5} : 5 x + 1024

= \frac{d}{d x} (5 x + 1024)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (5 x) + \frac{d}{d x} (1024)

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

\frac{d}{d x} (1024) = 0

= 5 + 0

Simplify

= 5

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