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Popular >

derivative of f(x)=ln(x^2+3)

Solution

derivative of

f (x) = ln (x^{2} + 3)

Solution

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

Graph

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x \to 0 lim (ln (sin (2 x)))

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\int_{0}^{\frac{π}{4}} tan^{3} (x) sec^{\frac{5}{2}} (x) d x

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\int \frac{x + 6}{x ^{2} + 16} d x

Frequently Asked Questions (FAQ)

What is the derivative of f(x)=ln(x^2+3) ?
The derivative of f(x)=ln(x^2+3) is (2x)/(x^2+3)
What is the first derivative of f(x)=ln(x^2+3) ?
The first derivative of f(x)=ln(x^2+3) is (2x)/(x^2+3)