What is the derivative of y=sqrt(1-2x) ?

The derivative of y=sqrt(1-2x) is -1/(sqrt(1-2x))

What is the first derivative of y=sqrt(1-2x) ?

The first derivative of y=sqrt(1-2x) is -1/(sqrt(1-2x))

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derivative of

y = 1 - 2 x

- \frac{1}{1 - 2 x}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

g (x) = (x^{2} + 1)^{3} (x^{2} + 2)^{6}

\frac{s + 3}{s ^{2} + 2 s + 1}

f (x) = 4 x^{4} - \frac{1}{4 x ^{4}}

y^{^{''}} + 2 y^{^{'}} + y = - e^{- t}

\frac{\partial}{\partial y} (\frac{x ^{3}}{x ^{2} + y ^{2}})

What is the derivative of y=sqrt(1-2x) ?
The derivative of y=sqrt(1-2x) is -1/(sqrt(1-2x))
What is the first derivative of y=sqrt(1-2x) ?
The first derivative of y=sqrt(1-2x) is -1/(sqrt(1-2x))