What is the derivative of sqrt(7)u+sqrt(10u) ?

The derivative of sqrt(7)u+sqrt(10u) is sqrt(7)+(sqrt(5))/(sqrt(2)\sqrt{u)}

What is the first derivative of sqrt(7)u+sqrt(10u) ?

The first derivative of sqrt(7)u+sqrt(10u) is sqrt(7)+(sqrt(5))/(sqrt(2)\sqrt{u)}

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derivative of

7 u + 10 u

7 + \frac{5}{2 u}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

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