What is the derivative of sqrt(6)u+sqrt(7u) ?

The derivative of sqrt(6)u+sqrt(7u) is sqrt(6)+(sqrt(7))/(2sqrt(u))

What is the first derivative of sqrt(6)u+sqrt(7u) ?

The first derivative of sqrt(6)u+sqrt(7u) is sqrt(6)+(sqrt(7))/(2sqrt(u))

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derivative of

6 u + 7 u

6 + \frac{7}{2 u}

Solution steps

\frac{d}{d u} (6 u + 7 u)

Apply the Sum/Difference Rule:

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

= \frac{d}{d u} (6 u) + \frac{d}{d u} (7 u)

\frac{d}{d u} (6 u) = 6

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

= 6 + \frac{7}{2 u}

What is the derivative of sqrt(6)u+sqrt(7u) ?
The derivative of sqrt(6)u+sqrt(7u) is sqrt(6)+(sqrt(7))/(2sqrt(u))
What is the first derivative of sqrt(6)u+sqrt(7u) ?
The first derivative of sqrt(6)u+sqrt(7u) is sqrt(6)+(sqrt(7))/(2sqrt(u))