What is the derivative of 7x^5+17 ?

The derivative of 7x^5+17 is 35x^4

What is the first derivative of 7x^5+17 ?

The first derivative of 7x^5+17 is 35x^4

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derivative of

7 x^{5} + 17

35 x^{4}

Solution steps

\frac{d}{d x} (7 x^{5} + 17)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (7 x^{5}) + \frac{d}{d x} (17)

\frac{d}{d x} (7 x^{5}) = 35 x^{4}

\frac{d}{d x} (17) = 0

= 35 x^{4} + 0

Simplify

= 35 x^{4}

What is the derivative of 7x^5+17 ?
The derivative of 7x^5+17 is 35x^4
What is the first derivative of 7x^5+17 ?
The first derivative of 7x^5+17 is 35x^4