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Popular >

derivative of 8sqrt(8x^2+3)

Solution

\frac{d}{d x} (8 8 x^{2} + 3)

Solution

\frac{64 x}{8 x ^{2} + 3}

Solution steps

\frac{d}{d x} (8 8 x^{2} + 3)

Take the constant out:

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

= 8 \frac{d}{d x} (8 x^{2} + 3)

Apply the chain rule:

\frac{1}{2 8 x ^{2} + 3} \frac{d}{d x} (8 x^{2} + 3)

= \frac{1}{2 8 x ^{2} + 3} \frac{d}{d x} (8 x^{2} + 3)

\frac{d}{d x} (8 x^{2} + 3) = 16 x

= 8 \cdot \frac{1}{2 8 x ^{2} + 3} \cdot 16 x

Simplify

8 \cdot \frac{1}{2 8 x ^{2} + 3} \cdot 16 x : \frac{64 x}{8 x ^{2} + 3}

= \frac{64 x}{8 x ^{2} + 3}

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Frequently Asked Questions (FAQ)

What is the derivative of 8sqrt(8x^2+3) ?
The derivative of 8sqrt(8x^2+3) is (64x)/(sqrt(8x^2+3))
What is the first derivative of 8sqrt(8x^2+3) ?
The first derivative of 8sqrt(8x^2+3) is (64x)/(sqrt(8x^2+3))