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Popular >

derivative of y=sqrt(4x^2+2)

Solution

derivative of

y = 4 x^{2} + 2

Solution

\frac{4 x}{4 x ^{2} + 2}

Solution steps

\frac{d}{d x} (4 x^{2} + 2)

Apply the chain rule:

\frac{1}{2 4 x ^{2} + 2} \frac{d}{d x} (4 x^{2} + 2)

= \frac{1}{2 4 x ^{2} + 2} \frac{d}{d x} (4 x^{2} + 2)

\frac{d}{d x} (4 x^{2} + 2) = 8 x

= \frac{1}{2 4 x ^{2} + 2} \cdot 8 x

Simplify

\frac{1}{2 4 x ^{2} + 2} \cdot 8 x : \frac{4 x}{4 x ^{2} + 2}

= \frac{4 x}{4 x ^{2} + 2}

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\int 3 x + \frac{10}{x ^{6}} d x

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Frequently Asked Questions (FAQ)

What is the derivative of y=sqrt(4x^2+2) ?
The derivative of y=sqrt(4x^2+2) is (4x)/(sqrt(4x^2+2))
What is the first derivative of y=sqrt(4x^2+2) ?
The first derivative of y=sqrt(4x^2+2) is (4x)/(sqrt(4x^2+2))