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Popular >

derivative of g(u)=sqrt(10u)+sqrt(7u)

Solution

derivative of

g (u) = 10 u + 7 u

Solution

\frac{5}{2 u} + \frac{7}{2 u}

Solution steps

\frac{d}{d u} (10 u + 7 u)

Apply the Sum/Difference Rule:

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

= \frac{d}{d u} (10 u) + \frac{d}{d u} (7 u)

\frac{d}{d u} (10 u) = \frac{5}{2 u}

\frac{d}{d u} (7 u) = \frac{7}{2 u}

= \frac{5}{2 u} + \frac{7}{2 u}

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of g(u)=sqrt(10u)+sqrt(7u) ?
The derivative of g(u)=sqrt(10u)+sqrt(7u) is (sqrt(5))/(sqrt(2)\sqrt{u)}+(sqrt(7))/(2sqrt(u))
What is the first derivative of g(u)=sqrt(10u)+sqrt(7u) ?
The first derivative of g(u)=sqrt(10u)+sqrt(7u) is (sqrt(5))/(sqrt(2)\sqrt{u)}+(sqrt(7))/(2sqrt(u))