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Popular Calculus >

derivative of sqrt(13x^2-5x+8)

Solution

\frac{d}{d x} (13 x^{2} - 5 x + 8)

Solution

\frac{26 x - 5}{2 13 x ^{2} - 5 x + 8}

Solution steps

\frac{d}{d x} (13 x^{2} - 5 x + 8)

Apply the chain rule:

\frac{1}{2 13 x ^{2} - 5 x + 8} \frac{d}{d x} (13 x^{2} - 5 x + 8)

= \frac{1}{2 13 x ^{2} - 5 x + 8} \frac{d}{d x} (13 x^{2} - 5 x + 8)

\frac{d}{d x} (13 x^{2} - 5 x + 8) = 26 x - 5

= \frac{1}{2 13 x ^{2} - 5 x + 8} (26 x - 5)

Simplify

\frac{1}{2 13 x ^{2} - 5 x + 8} (26 x - 5) : \frac{26 x - 5}{2 13 x ^{2} - 5 x + 8}

= \frac{26 x - 5}{2 13 x ^{2} - 5 x + 8}

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of sqrt(13x^2-5x+8) ?
The derivative of sqrt(13x^2-5x+8) is (26x-5)/(2sqrt(13x^2-5x+8))
What is the first derivative of sqrt(13x^2-5x+8) ?
The first derivative of sqrt(13x^2-5x+8) is (26x-5)/(2sqrt(13x^2-5x+8))