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

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

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

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

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

\frac{1}{2 1 - 2 y} (- 2) : - \frac{1}{1 - 2 y}

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

\int \frac{ln ( x ^{2} )}{2 x} d x

y = 3 x^{2} + 14 x - 5

\frac{d y}{d x} = \frac{1}{10} y - \frac{1}{5000} y^{2}, y (0) = 50

x \to 0 lim (\frac{2 x}{2 x + 7})

\frac{d}{d x} ((2 x + 1) (x^{2} + 3))

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