What is the derivative of 2sqrt(x-3) ?

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

What is the first derivative of 2sqrt(x-3) ?

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

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derivative of

2 x - 3

\frac{1}{x - 3}

Solution steps

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

Take the constant out:

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

= 2 \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

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

Simplify

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

= \frac{1}{x - 3}

f (x) = 3 x + 4, at x = 4

f (x) = x^{4} - 32 x^{2} + 256, at (1,)

\int cos (θ) d θ

\int \frac{n}{n + 1} d n

\int (3 x + \frac{10}{x ^{6}}) d x

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