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Popular >

derivative of sqrt(4x^2-8x)

Solution

\frac{d}{d x} (4 x^{2} - 8 x)

Solution

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

Solution steps

\frac{d}{d x} (4 x^{2} - 8 x)

Apply the chain rule:

\frac{1}{2 4 x ^{2} - 8 x} \frac{d}{d x} (4 x^{2} - 8 x)

= \frac{1}{2 4 x ^{2} - 8 x} \frac{d}{d x} (4 x^{2} - 8 x)

\frac{d}{d x} (4 x^{2} - 8 x) = 8 x - 8

= \frac{1}{2 4 x ^{2} - 8 x} (8 x - 8)

Simplify

\frac{1}{2 4 x ^{2} - 8 x} (8 x - 8) : \frac{2 ( x - 1 )}{x ( x - 2 )}

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

Popular Examples

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\int \frac{x ^{2}}{( 1 + x ^{3} ) ^{1.7}} d x

slope of (38)(3-4)slope

(38) (3 - 4)

limit as x approaches 16 of (sqrt(x-4))/(\sqrt[4]{x-2)}

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x \to \infty lim (e^{- 3 x} sin (x))

integral from-1 to 1 of (x^2-x^4)

\int_{- 1}^{1} (x^{2} - x^{4}) d x

Frequently Asked Questions (FAQ)

What is the derivative of sqrt(4x^2-8x) ?
The derivative of sqrt(4x^2-8x) is (2(x-1))/(sqrt(x(x-2)))
What is the first derivative of sqrt(4x^2-8x) ?
The first derivative of sqrt(4x^2-8x) is (2(x-1))/(sqrt(x(x-2)))