What is the derivative of f(x)=sqrt(x-4) ?

The derivative of f(x)=sqrt(x-4) is 1/(2sqrt(x-4))

What is the first derivative of f(x)=sqrt(x-4) ?

The first derivative of f(x)=sqrt(x-4) is 1/(2sqrt(x-4))

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derivative of

f (x) = x - 4

\frac{1}{2 x - 4}

Solution steps

\frac{d}{d x} (x - 4)

Apply the chain rule:

\frac{1}{2 x - 4} \frac{d}{d x} (x - 4)

= \frac{1}{2 x - 4} \frac{d}{d x} (x - 4)

\frac{d}{d x} (x - 4) = 1

= \frac{1}{2 x - 4} \cdot 1

Simplify

= \frac{1}{2 x - 4}

\frac{\partial}{\partial x} (\frac{2}{2 x + 4 y + 1})

\frac{d}{d x} (3 sin (x) cos^{2} (x) + sin^{3} (x))

(2 x y^{2} + 2 y) d x + (2 x^{2} y + 2 x) d y = 0

\frac{\partial}{\partial x} (100 e^{(- x - 2 y)})

x \to 1 lim (g (x) (f (x)))

What is the derivative of f(x)=sqrt(x-4) ?
The derivative of f(x)=sqrt(x-4) is 1/(2sqrt(x-4))
What is the first derivative of f(x)=sqrt(x-4) ?
The first derivative of f(x)=sqrt(x-4) is 1/(2sqrt(x-4))