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Popular Calculus >

derivative of-sqrt(4x-3)

Solution

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

Solution

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

Solution steps

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

Take the constant out:

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

= - \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}

Graph

Popular Examples

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x y^{^{'}} + 2 y = 2 x^{2} - 3 x

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d er i v a t i v e f (x) = \frac{120 x ^{2}}{x ^{2} + 4}

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t an g e n t y = \frac{- 4 x}{x ^{2} + 1}, (0, 0)

derivative of 3^{tan(x})

\frac{d}{d x} (3^{t a n (x)})

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\frac{d}{d t} (e^{3 t} cos (2 t))

Frequently Asked Questions (FAQ)

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))