What is the derivative of g(u)=sqrt(3)u+sqrt(5u) ?

The derivative of g(u)=sqrt(3)u+sqrt(5u) is sqrt(3)+(sqrt(5))/(2sqrt(u))

What is the first derivative of g(u)=sqrt(3)u+sqrt(5u) ?

The first derivative of g(u)=sqrt(3)u+sqrt(5u) is sqrt(3)+(sqrt(5))/(2sqrt(u))

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derivative of

g (u) = 3 u + 5 u

3 + \frac{5}{2 u}

Solution steps

\frac{d}{d u} (3 u + 5 u)

Apply the Sum/Difference Rule:

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

= \frac{d}{d u} (3 u) + \frac{d}{d u} (5 u)

\frac{d}{d u} (3 u) = 3

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

= 3 + \frac{5}{2 u}

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What is the derivative of g(u)=sqrt(3)u+sqrt(5u) ?
The derivative of g(u)=sqrt(3)u+sqrt(5u) is sqrt(3)+(sqrt(5))/(2sqrt(u))
What is the first derivative of g(u)=sqrt(3)u+sqrt(5u) ?
The first derivative of g(u)=sqrt(3)u+sqrt(5u) is sqrt(3)+(sqrt(5))/(2sqrt(u))