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

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

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

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

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derivative of

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}

8 e^{x}

y^{^{'}} + \frac{3 y}{x} = - \frac{1}{x}

\frac{\partial}{\partial x} (2 x^{3} + x y^{2})

\frac{1}{x} \frac{d y}{d x} = e^{x + y}

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

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