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Popular >

derivative of ln(x^2-7x+1)

Solution

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

Solution

\frac{2 x - 7}{x ^{2} - 7 x + 1}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

= \frac{2 x - 7}{x ^{2} - 7 x + 1}

Popular Examples

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\int \frac{1}{9 x ^{2} + 12 x + 8} d x

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f (x) = sin (2 x), \frac{π}{2}, π

derivative of (sqrt(6x-x^2)/(tan(x)))

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integral of e^{9x}

\int e^{9 x} d x

integral of x^4*e^{x^5}

\int x^{4} \cdot e^{x^{5}} d x

Frequently Asked Questions (FAQ)

What is the derivative of ln(x^2-7x+1) ?
The derivative of ln(x^2-7x+1) is (2x-7)/(x^2-7x+1)
What is the first derivative of ln(x^2-7x+1) ?
The first derivative of ln(x^2-7x+1) is (2x-7)/(x^2-7x+1)