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

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

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

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

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

\frac{1}{2 1 - x}

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the chain rule:

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

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

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

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

Simplify

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

\int_{0}^{\frac{1}{6}} x arcsin (6 x) d x

\int (cos (x) - sin (2 x)) d x

\frac{d y}{d x} + 2 y = 35 sin (x) + 15 cos (x), y (0) = 9

\frac{\partial}{\partial y} (e^{- x} sec (y))

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

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