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Popular >

derivative of sqrt(-5+3x^2)

Solution

derivative of

- 5 + 3 x^{2}

Solution

\frac{3 x}{- 5 + 3 x ^{2}}

Solution steps

\frac{d}{d x} (- 5 + 3 x^{2})

Apply the chain rule:

\frac{1}{2 - 5 + 3 x ^{2}} \frac{d}{d x} (- 5 + 3 x^{2})

= \frac{1}{2 - 5 + 3 x ^{2}} \frac{d}{d x} (- 5 + 3 x^{2})

\frac{d}{d x} (- 5 + 3 x^{2}) = 6 x

= \frac{1}{2 - 5 + 3 x ^{2}} \cdot 6 x

Simplify

\frac{1}{2 - 5 + 3 x ^{2}} \cdot 6 x : \frac{3 x}{- 5 + 3 x ^{2}}

= \frac{3 x}{- 5 + 3 x ^{2}}

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of sqrt(-5+3x^2) ?
The derivative of sqrt(-5+3x^2) is (3x)/(sqrt(-5+3x^2))
What is the first derivative of sqrt(-5+3x^2) ?
The first derivative of sqrt(-5+3x^2) is (3x)/(sqrt(-5+3x^2))