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Popular >

derivative of ln(3x^2+2x-1)

Solution

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

Solution

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

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (3 x^{2} + 2 x - 1) = 6 x + 2

= \frac{1}{3 x ^{2} + 2 x - 1} (6 x + 2)

Simplify

\frac{1}{3 x ^{2} + 2 x - 1} (6 x + 2) : \frac{6 x + 2}{3 x ^{2} + 2 x - 1}

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

Graph

Popular Examples

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y = sin^{5} (2 x + 1)

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f (x) = - csc (x) - sin (x)

derivative of \sqrt[3]{x^2+x+1}

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

integral from 1 to e^3 of (ln^2(x^2))/x

\int_{1}^{e^{3}} \frac{ln ^{2} ( x ^{2} )}{x} d x

laplacetransform e^{t-2}laplace transform

e^{t - 2}

Frequently Asked Questions (FAQ)

What is the derivative of ln(3x^2+2x-1) ?
The derivative of ln(3x^2+2x-1) is (6x+2)/(3x^2+2x-1)
What is the first derivative of ln(3x^2+2x-1) ?
The first derivative of ln(3x^2+2x-1) is (6x+2)/(3x^2+2x-1)