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

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

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

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

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derivative of

g (x) = 2 x - 3

\frac{1}{2 x - 3}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

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