What is the derivative of sqrt(4x-3) ?

The derivative of sqrt(4x-3) is 2/(sqrt(4x-3))

What is the first derivative of sqrt(4x-3) ?

The first derivative of sqrt(4x-3) is 2/(sqrt(4x-3))

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derivative of

4 x - 3

\frac{2}{4 x - 3}

Solution steps

\frac{d}{d x} (4 x - 3)

Apply the chain rule:

\frac{1}{2 4 x - 3} \frac{d}{d x} (4 x - 3)

= \frac{1}{2 4 x - 3} \frac{d}{d x} (4 x - 3)

\frac{d}{d x} (4 x - 3) = 4

= \frac{1}{2 4 x - 3} \cdot 4

Simplify

\frac{1}{2 4 x - 3} \cdot 4 : \frac{2}{4 x - 3}

= \frac{2}{4 x - 3}

\frac{d}{d x} (ln (\frac{2 x}{x + 3}))

\int 1 - 2 cos (x) d x

\frac{13 e ^{6 x}}{x + 5}

\int (4 x + 1)^{2} d x

\int \frac{5}{x + 4} d x

What is the derivative of sqrt(4x-3) ?
The derivative of sqrt(4x-3) is 2/(sqrt(4x-3))
What is the first derivative of sqrt(4x-3) ?
The first derivative of sqrt(4x-3) is 2/(sqrt(4x-3))