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Popular >

derivative of sqrt(25x^2-1)

Solution

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

Solution

\frac{25 x}{25 x ^{2} - 1}

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (25 x^{2} - 1) = 50 x

= \frac{1}{2 25 x ^{2} - 1} \cdot 50 x

Simplify

\frac{1}{2 25 x ^{2} - 1} \cdot 50 x : \frac{25 x}{25 x ^{2} - 1}

= \frac{25 x}{25 x ^{2} - 1}

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Frequently Asked Questions (FAQ)

What is the derivative of sqrt(25x^2-1) ?
The derivative of sqrt(25x^2-1) is (25x)/(sqrt(25x^2-1))
What is the first derivative of sqrt(25x^2-1) ?
The first derivative of sqrt(25x^2-1) is (25x)/(sqrt(25x^2-1))