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Popular >

derivative of ln(x^2-5x+2)

Solution

\frac{d}{d x} (ln (x^{2} - 5 x + 2))

Solution

\frac{2 x - 5}{x ^{2} - 5 x + 2}

Solution steps

\frac{d}{d x} (ln (x^{2} - 5 x + 2))

Apply the chain rule:

\frac{1}{x ^{2} - 5 x + 2} \frac{d}{d x} (x^{2} - 5 x + 2)

= \frac{1}{x ^{2} - 5 x + 2} \frac{d}{d x} (x^{2} - 5 x + 2)

\frac{d}{d x} (x^{2} - 5 x + 2) = 2 x - 5

= \frac{1}{x ^{2} - 5 x + 2} (2 x - 5)

Simplify

\frac{1}{x ^{2} - 5 x + 2} (2 x - 5) : \frac{2 x - 5}{x ^{2} - 5 x + 2}

= \frac{2 x - 5}{x ^{2} - 5 x + 2}

Popular Examples

integral of (ln(2))/(x^2)

\int \frac{ln ( 2 )}{x ^{2}} d x

y^'=((3t^2-e^t))/((2y-5)),y(0)=1

y^{^{'}} = \frac{( 3 t ^{2} - e ^{t} )}{( 2 y - 5 )}, y (0) = 1

sum from n=1 to infinity of ln(n+2)

n = 1 \sum \infty ln (n + 2)

limit as x approaches 2-of ln(x^2(3-x))

x \to 2 - lim (ln (x^{2} (3 - x)))

area x^2,2-x^2 area

x^{2}, 2 - x^{2}

Frequently Asked Questions (FAQ)

What is the derivative of ln(x^2-5x+2) ?
The derivative of ln(x^2-5x+2) is (2x-5)/(x^2-5x+2)
What is the first derivative of ln(x^2-5x+2) ?
The first derivative of ln(x^2-5x+2) is (2x-5)/(x^2-5x+2)