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

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

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

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

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derivative

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

Solution steps

\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}

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