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Popular >

derivative of ln(8x^2+7x+2)

Solution

\frac{d}{d x} (ln (8 x^{2} + 7 x + 2))

Solution

\frac{16 x + 7}{8 x ^{2} + 7 x + 2}

Solution steps

\frac{d}{d x} (ln (8 x^{2} + 7 x + 2))

Apply the chain rule:

\frac{1}{8 x ^{2} + 7 x + 2} \frac{d}{d x} (8 x^{2} + 7 x + 2)

= \frac{1}{8 x ^{2} + 7 x + 2} \frac{d}{d x} (8 x^{2} + 7 x + 2)

\frac{d}{d x} (8 x^{2} + 7 x + 2) = 16 x + 7

= \frac{1}{8 x ^{2} + 7 x + 2} (16 x + 7)

Simplify

\frac{1}{8 x ^{2} + 7 x + 2} (16 x + 7) : \frac{16 x + 7}{8 x ^{2} + 7 x + 2}

= \frac{16 x + 7}{8 x ^{2} + 7 x + 2}

Popular Examples

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\int_{1}^{3} \frac{7}{16 - x ^{2}} d x

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\int \frac{26 x ^{3} - 52 x ^{2} + 7}{x ^{2} - 2 x} d x

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\int_{0}^{1} \frac{x}{( x ^{2} + 1 ) ^{3}} d x

derivative of y=(1+x^2)/(arccot(x))derivative of

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Frequently Asked Questions (FAQ)

What is the derivative of ln(8x^2+7x+2) ?
The derivative of ln(8x^2+7x+2) is (16x+7)/(8x^2+7x+2)
What is the first derivative of ln(8x^2+7x+2) ?
The first derivative of ln(8x^2+7x+2) is (16x+7)/(8x^2+7x+2)