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Popular >

derivative of-2sqrt(9x^2+8)

Solution

\frac{d}{d x} (- 2 9 x^{2} + 8)

Solution

- \frac{18 x}{9 x ^{2} + 8}

Solution steps

\frac{d}{d x} (- 2 9 x^{2} + 8)

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= - 2 \frac{d}{d x} (9 x^{2} + 8)

Apply the chain rule:

\frac{1}{2 9 x ^{2} + 8} \frac{d}{d x} (9 x^{2} + 8)

= \frac{1}{2 9 x ^{2} + 8} \frac{d}{d x} (9 x^{2} + 8)

\frac{d}{d x} (9 x^{2} + 8) = 18 x

= - 2 \cdot \frac{1}{2 9 x ^{2} + 8} \cdot 18 x

Simplify

- 2 \cdot \frac{1}{2 9 x ^{2} + 8} \cdot 18 x : - \frac{18 x}{9 x ^{2} + 8}

= - \frac{18 x}{9 x ^{2} + 8}

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Frequently Asked Questions (FAQ)

What is the derivative of-2sqrt(9x^2+8) ?
The derivative of-2sqrt(9x^2+8) is -(18x)/(sqrt(9x^2+8))
What is the first derivative of-2sqrt(9x^2+8) ?
The first derivative of-2sqrt(9x^2+8) is -(18x)/(sqrt(9x^2+8))