What is the derivative of g(x)=sqrt(5-x) ?

The derivative of g(x)=sqrt(5-x) is -1/(2sqrt(5-x))

What is the first derivative of g(x)=sqrt(5-x) ?

The first derivative of g(x)=sqrt(5-x) is -1/(2sqrt(5-x))

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derivative of

g (x) = 5 - x

- \frac{1}{2 5 - x}

Solution steps

\frac{d}{d x} (5 - x)

Apply the chain rule:

\frac{1}{2 5 - x} \frac{d}{d x} (5 - x)

= \frac{1}{2 5 - x} \frac{d}{d x} (5 - x)

\frac{d}{d x} (5 - x) = - 1

= \frac{1}{2 5 - x} (- 1)

Simplify

= - \frac{1}{2 5 - x}

\int \frac{1}{2} x^{2} ln (x) - \frac{1}{2} x^{2} ln (2 x) d x

\int ln (- x) d x

x \to 0 + lim (ln (x) x)

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

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

What is the derivative of g(x)=sqrt(5-x) ?
The derivative of g(x)=sqrt(5-x) is -1/(2sqrt(5-x))
What is the first derivative of g(x)=sqrt(5-x) ?
The first derivative of g(x)=sqrt(5-x) is -1/(2sqrt(5-x))