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Popular >

derivative of sqrt(x^2-7x)

Solution

derivative of

x^{2} - 7 x

Solution

\frac{2 x - 7}{2 x ^{2} - 7 x}

Solution steps

\frac{d}{d x} (x^{2} - 7 x)

Apply the chain rule:

\frac{1}{2 x ^{2} - 7 x} \frac{d}{d x} (x^{2} - 7 x)

= \frac{1}{2 x ^{2} - 7 x} \frac{d}{d x} (x^{2} - 7 x)

\frac{d}{d x} (x^{2} - 7 x) = 2 x - 7

= \frac{1}{2 x ^{2} - 7 x} (2 x - 7)

Simplify

\frac{1}{2 x ^{2} - 7 x} (2 x - 7) : \frac{2 x - 7}{2 x ^{2} - 7 x}

= \frac{2 x - 7}{2 x ^{2} - 7 x}

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Frequently Asked Questions (FAQ)

What is the derivative of sqrt(x^2-7x) ?
The derivative of sqrt(x^2-7x) is (2x-7)/(2sqrt(x^2-7x))
What is the first derivative of sqrt(x^2-7x) ?
The first derivative of sqrt(x^2-7x) is (2x-7)/(2sqrt(x^2-7x))