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Popular >

derivative of ln(3x+x^2)

Solution

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

Solution

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

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x \to π lim (ln (sin (x)))

Frequently Asked Questions (FAQ)

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