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

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

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

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

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

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

Solution steps

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

Treat

v

as a constant

Apply the chain rule:

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

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

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

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

Simplify

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

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

n = 1 \sum \infty \frac{( - 3 ) ^{n}}{7 ^{n + 1}}

\int 8 (y^{4} + 4 y^{2} + 1)^{2} (y^{3} + 2 y) d y

y^{^{'}} + 3 (1 + x^{2}) y = 0

\frac{d}{d m} (mi)

a e^{v} + \frac{b}{v} + \frac{c}{v ^{2}}

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