What is the derivative of sqrt(f(x)) ?

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

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

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

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derivative of

f (x)

\frac{1}{2 f x} x

Solution steps

\frac{d}{df} (f x)

Treat

x

as a constant

Apply the chain rule:

\frac{1}{2 f x} \frac{d}{df} (f x)

= \frac{1}{2 f x} \frac{d}{df} (f x)

\frac{d}{df} (f x) = x

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

\int \frac{1}{x + x ^{3}} d x

\frac{\partial}{\partial x} (e^{- \frac{x ^{2}}{6} - \frac{y ^{2}}{6}})

\int (\frac{5 x ^{4}}{( 10 + x ^{5} ) ^{4}}) d x

n = 1 \sum \infty (cos (1.6))^{n}

\int arcsin (2 x) d x

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