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Popular >

derivative of ln(x^2-4x)

Solution

derivative of

ln (x^{2} - 4 x)

Solution

\frac{2 x - 4}{x ^{2} - 4 x}

Solution steps

\frac{d}{d x} (ln (x^{2} - 4 x))

Apply the chain rule:

\frac{1}{x ^{2} - 4 x} \frac{d}{d x} (x^{2} - 4 x)

= \frac{1}{x ^{2} - 4 x} \frac{d}{d x} (x^{2} - 4 x)

\frac{d}{d x} (x^{2} - 4 x) = 2 x - 4

= \frac{1}{x ^{2} - 4 x} (2 x - 4)

Simplify

\frac{1}{x ^{2} - 4 x} (2 x - 4) : \frac{2 x - 4}{x ^{2} - 4 x}

= \frac{2 x - 4}{x ^{2} - 4 x}

Popular Examples

(arcsin((2x)/(1+x^2)))^'

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derivative of x^4+x^3+2 derivative of

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(\partial)/(\partial x)(sin(y)cos(x))

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integral of (4t)/(sqrt(1-16t^4))

\int \frac{4 t}{1 - 16 t ^{4}} d t

Frequently Asked Questions (FAQ)

What is the derivative of ln(x^2-4x) ?
The derivative of ln(x^2-4x) is (2x-4)/(x^2-4x)
What is the first derivative of ln(x^2-4x) ?
The first derivative of ln(x^2-4x) is (2x-4)/(x^2-4x)