What is the derivative of sqrt(2)u+sqrt(3u) ?

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

What is the first derivative of sqrt(2)u+sqrt(3u) ?

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

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derivative of

2 u + 3 u

2 + \frac{3}{2 u}

Solution steps

\frac{d}{d u} (2 u + 3 u)

Apply the Sum/Difference Rule:

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

= \frac{d}{d u} (2 u) + \frac{d}{d u} (3 u)

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

\frac{d}{d u} (3 u) = \frac{3}{2 u}

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

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