What is the derivative of f(x)=sqrt(x-3) ?

The derivative of f(x)=sqrt(x-3) is 1/(2sqrt(x-3))

What is the first derivative of f(x)=sqrt(x-3) ?

The first derivative of f(x)=sqrt(x-3) is 1/(2sqrt(x-3))

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derivative of

f (x) = x - 3

\frac{1}{2 x - 3}

Solution steps

\frac{d}{d x} (x - 3)

Apply the chain rule:

\frac{1}{2 x - 3} \frac{d}{d x} (x - 3)

= \frac{1}{2 x - 3} \frac{d}{d x} (x - 3)

\frac{d}{d x} (x - 3) = 1

= \frac{1}{2 x - 3} \cdot 1

Simplify

= \frac{1}{2 x - 3}

\int - cos (t) sin (t) d t

(\frac{1}{X})^{^{'}}

\int_{- 2}^{2} x (x^{2} + 1)^{3} d x

\frac{d}{d x} (\frac{( 2 x - 3 ) ^{- 3}}{( 2 - 3 x ) ^{2}})

x \to 0 lim (\frac{x ^{4} + 1}{x ^{2}})

What is the derivative of f(x)=sqrt(x-3) ?
The derivative of f(x)=sqrt(x-3) is 1/(2sqrt(x-3))
What is the first derivative of f(x)=sqrt(x-3) ?
The first derivative of f(x)=sqrt(x-3) is 1/(2sqrt(x-3))