What is the d/(dv)(sqrt(u^2+v^2)) ?

The d/(dv)(sqrt(u^2+v^2)) is v/(sqrt(u^2+v^2))

What is the first d/(dv)(sqrt(u^2+v^2)) ?

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

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\frac{d}{d v} (u^{2} + v^{2})

\frac{v}{u ^{2} + v ^{2}}

Solution steps

\frac{d}{d v} (u^{2} + v^{2})

Treat

u

as a constant

Apply the chain rule:

\frac{1}{2 u ^{2} + v ^{2}} \frac{d}{d v} (u^{2} + v^{2})

= \frac{1}{2 u ^{2} + v ^{2}} \frac{d}{d v} (u^{2} + v^{2})

\frac{d}{d v} (u^{2} + v^{2}) = 2 v

= \frac{1}{2 u ^{2} + v ^{2}} \cdot 2 v

Simplify

\frac{1}{2 u ^{2} + v ^{2}} \cdot 2 v : \frac{v}{u ^{2} + v ^{2}}

= \frac{v}{u ^{2} + v ^{2}}

y^{^{''''}} = y

\frac{d}{d x} (- 64 cos (4 x))

\int 3 x^{\frac{3}{2}} d x

\int \frac{sin ( 2 x )}{36 + cos ^{2} ( x )} d x

0.5 q^{^{''}} + 10 q^{^{'}} + 100 q = 150

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