What is the derivative of 2sqrt(x-4) ?

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

What is the first derivative of 2sqrt(x-4) ?

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

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derivative of

2 x - 4

\frac{1}{x - 4}

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 2 \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

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

Simplify

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

= \frac{1}{x - 4}

\int_{2}^{5} t^{2} ln (3 t) d t

\int t^{2} e^{- 18 t} d t

g (x) = \frac{e ^{x}}{9 e ^{x} + x ^{2}}

\int \frac{x ^{2} - x + 12}{x ^{3} + 3 x} d x

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

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