What is the d/(dv)(sqrt(u*v)) ?

The d/(dv)(sqrt(u*v)) is (sqrt(u))/(2sqrt(v))

What is the first d/(dv)(sqrt(u*v)) ?

The first d/(dv)(sqrt(u*v)) is (sqrt(u))/(2sqrt(v))

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\frac{d}{d v} (u \cdot v)

\frac{u}{2 v}

Solution steps

\frac{d}{d v} (uv)

Treat

u

as a constant

Apply the chain rule:

\frac{1}{2 uv} \frac{d}{d v} (uv)

= \frac{1}{2 uv} \frac{d}{d v} (uv)

\frac{d}{d v} (uv) = u

= \frac{1}{2 uv} u

Simplify

\frac{1}{2 uv} u : \frac{u}{2 v}

= \frac{u}{2 v}

f (θ) = 4 sin (θ) - θ

4 x^{2} cos (x) cot (x)

\int e^{x yz} d x

x \to 1 lim (sin (3 π x))

y + (x + 1) \frac{d y}{d x} = 2 x + 2, y (0) = 2

What is the d/(dv)(sqrt(u*v)) ?
The d/(dv)(sqrt(u*v)) is (sqrt(u))/(2sqrt(v))
What is the first d/(dv)(sqrt(u*v)) ?
The first d/(dv)(sqrt(u*v)) is (sqrt(u))/(2sqrt(v))