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

The d/(dy)(x+sqrt(y)) is 1/(2sqrt(y))

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

The first d/(dy)(x+sqrt(y)) is 1/(2sqrt(y))

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

\frac{1}{2 y}

Solution steps

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

Treat

x

as a constant

Apply the Sum/Difference Rule:

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

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

\frac{d x}{d y} = 0

\frac{d}{d y} (y) = \frac{1}{2 y}

= 0 + \frac{1}{2 y}

Simplify

= \frac{1}{2 y}

\int x^{2} 2 - x d x

f (x) = \frac{x ( x ^{2} + 4 )}{x - 2}

\int 7 x^{- \frac{8}{9}} d x

\frac{y ^{^{'}}}{x ^{3} + y} = \frac{1}{x}

\int \frac{co tan ( ln ( x ) )}{2 x}

What is the d/(dy)(x+sqrt(y)) ?
The d/(dy)(x+sqrt(y)) is 1/(2sqrt(y))
What is the first d/(dy)(x+sqrt(y)) ?
The first d/(dy)(x+sqrt(y)) is 1/(2sqrt(y))