What is the derivative of g(u)=sqrt(7)u+sqrt(13u) ?

The derivative of g(u)=sqrt(7)u+sqrt(13u) is sqrt(7)+(sqrt(13))/(2sqrt(u))

What is the first derivative of g(u)=sqrt(7)u+sqrt(13u) ?

The first derivative of g(u)=sqrt(7)u+sqrt(13u) is sqrt(7)+(sqrt(13))/(2sqrt(u))

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derivative of

g (u) = 7 u + 13 u

7 + \frac{13}{2 u}

Solution steps

\frac{d}{d u} (7 u + 13 u)

Apply the Sum/Difference Rule:

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

= \frac{d}{d u} (7 u) + \frac{d}{d u} (13 u)

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

\frac{d}{d u} (13 u) = \frac{13}{2 u}

= 7 + \frac{13}{2 u}

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What is the derivative of g(u)=sqrt(7)u+sqrt(13u) ?
The derivative of g(u)=sqrt(7)u+sqrt(13u) is sqrt(7)+(sqrt(13))/(2sqrt(u))
What is the first derivative of g(u)=sqrt(7)u+sqrt(13u) ?
The first derivative of g(u)=sqrt(7)u+sqrt(13u) is sqrt(7)+(sqrt(13))/(2sqrt(u))