What is the d/(dy)(sqrt(-y+1)) ?

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

What is the first d/(dy)(sqrt(-y+1)) ?

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

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\frac{d}{d y} (- y + 1)

- \frac{1}{2 - y + 1}

Solution steps

\frac{d}{d y} (- y + 1)

Apply the chain rule:

\frac{1}{2 - y + 1} \frac{d}{d y} (- y + 1)

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

\frac{d}{d y} (- y + 1) = - 1

= \frac{1}{2 - y + 1} (- 1)

Simplify

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

\frac{d}{d x} (- \frac{12}{x ^{6}})

\int \frac{x + 1}{x ^{3}} d x

z \to i lim (z^{2} + 2 z)

y^{^{''}} - 4 y^{^{'}} + 4 y = \frac{e ^{2 x}}{x}

\frac{d}{d x} (\frac{4 x}{x ^{2} + 1})

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