What is the derivative of f(x)=sqrt(x-6) ?

The derivative of f(x)=sqrt(x-6) is 1/(2sqrt(x-6))

What is the first derivative of f(x)=sqrt(x-6) ?

The first derivative of f(x)=sqrt(x-6) is 1/(2sqrt(x-6))

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derivative of

f (x) = x - 6

\frac{1}{2 x - 6}

Solution steps

\frac{d}{d x} (x - 6)

Apply the chain rule:

\frac{1}{2 x - 6} \frac{d}{d x} (x - 6)

= \frac{1}{2 x - 6} \frac{d}{d x} (x - 6)

\frac{d}{d x} (x - 6) = 1

= \frac{1}{2 x - 6} \cdot 1

Simplify

= \frac{1}{2 x - 6}

f (x) = 3 e^{2 x^{2}}

\int_{- 2}^{0} (5 x^{2} + 5 x) d x

x \to \infty lim (5 x^{3})

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

\frac{d}{d x} (\frac{y}{x})

What is the derivative of f(x)=sqrt(x-6) ?
The derivative of f(x)=sqrt(x-6) is 1/(2sqrt(x-6))
What is the first derivative of f(x)=sqrt(x-6) ?
The first derivative of f(x)=sqrt(x-6) is 1/(2sqrt(x-6))