What is the d/(dy)(sqrt(x^2+y^2)) ?

The d/(dy)(sqrt(x^2+y^2)) is y/(sqrt(x^2+y^2))

What is the first d/(dy)(sqrt(x^2+y^2)) ?

The first d/(dy)(sqrt(x^2+y^2)) is y/(sqrt(x^2+y^2))

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\frac{d}{d y} (x^{2} + y^{2})

\frac{y}{x ^{2} + y ^{2}}

Solution steps

\frac{d}{d y} (x^{2} + y^{2})

Treat

x

as a constant

Apply the chain rule:

\frac{1}{2 x ^{2} + y ^{2}} \frac{d}{d y} (x^{2} + y^{2})

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

\frac{d}{d y} (x^{2} + y^{2}) = 2 y

= \frac{1}{2 x ^{2} + y ^{2}} \cdot 2 y

Simplify

\frac{1}{2 x ^{2} + y ^{2}} \cdot 2 y : \frac{y}{x ^{2} + y ^{2}}

= \frac{y}{x ^{2} + y ^{2}}

\frac{d}{d x} (\frac{x}{x + 10})

\int (\frac{x + 5}{x ^{2} + 11 x + 18}) d x

x \to 0 lim (1 + x)

\int + (arcsin (x))^{2} d x

\int \frac{x ^{2}}{x + 7} d x

What is the d/(dy)(sqrt(x^2+y^2)) ?
The d/(dy)(sqrt(x^2+y^2)) is y/(sqrt(x^2+y^2))
What is the first d/(dy)(sqrt(x^2+y^2)) ?
The first d/(dy)(sqrt(x^2+y^2)) is y/(sqrt(x^2+y^2))