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Popular >

derivative of sqrt(x^2-9x+25)

Solution

\frac{d}{d x} (x^{2} - 9 x + 25)

Solution

\frac{2 x - 9}{2 x ^{2} - 9 x + 25}

Solution steps

\frac{d}{d x} (x^{2} - 9 x + 25)

Apply the chain rule:

\frac{1}{2 x ^{2} - 9 x + 25} \frac{d}{d x} (x^{2} - 9 x + 25)

= \frac{1}{2 x ^{2} - 9 x + 25} \frac{d}{d x} (x^{2} - 9 x + 25)

\frac{d}{d x} (x^{2} - 9 x + 25) = 2 x - 9

= \frac{1}{2 x ^{2} - 9 x + 25} (2 x - 9)

Simplify

\frac{1}{2 x ^{2} - 9 x + 25} (2 x - 9) : \frac{2 x - 9}{2 x ^{2} - 9 x + 25}

= \frac{2 x - 9}{2 x ^{2} - 9 x + 25}

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Frequently Asked Questions (FAQ)

What is the derivative of sqrt(x^2-9x+25) ?
The derivative of sqrt(x^2-9x+25) is (2x-9)/(2sqrt(x^2-9x+25))
What is the first derivative of sqrt(x^2-9x+25) ?
The first derivative of sqrt(x^2-9x+25) is (2x-9)/(2sqrt(x^2-9x+25))