What is the derivative of 100+5q^2 ?

The derivative of 100+5q^2 is 10q

What is the first derivative of 100+5q^2 ?

The first derivative of 100+5q^2 is 10q

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derivative

10 q

Solution steps

\frac{d}{d q} (100 + 5 q^{2})

Apply the Sum/Difference Rule:

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

= \frac{d}{d q} (100) + \frac{d}{d q} (5 q^{2})

\frac{d}{d q} (100) = 0

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

= 0 + 10 q

Simplify

= 10 q

What is the derivative of 100+5q^2 ?
The derivative of 100+5q^2 is 10q
What is the first derivative of 100+5q^2 ?
The first derivative of 100+5q^2 is 10q