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Popular >

derivative of ln(3x^2-5x+2)

Solution

\frac{d}{d x} (ln (3 x^{2} - 5 x + 2))

Solution

\frac{6 x - 5}{3 x ^{2} - 5 x + 2}

Solution steps

\frac{d}{d x} (ln (3 x^{2} - 5 x + 2))

Apply the chain rule:

\frac{1}{3 x ^{2} - 5 x + 2} \frac{d}{d x} (3 x^{2} - 5 x + 2)

= \frac{1}{3 x ^{2} - 5 x + 2} \frac{d}{d x} (3 x^{2} - 5 x + 2)

\frac{d}{d x} (3 x^{2} - 5 x + 2) = 6 x - 5

= \frac{1}{3 x ^{2} - 5 x + 2} (6 x - 5)

Simplify

\frac{1}{3 x ^{2} - 5 x + 2} (6 x - 5) : \frac{6 x - 5}{3 x ^{2} - 5 x + 2}

= \frac{6 x - 5}{3 x ^{2} - 5 x + 2}

Popular Examples

integral of (x+e^x)^2

\int (x + e^{x})^{2} d x

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\int \frac{1}{x ^{2} - 3 x} d x

integral of x/((x^2+3)^{3/2)}

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

integral of 4csc(x)

\int 4 csc (x) d x

inverse oflaplace 4/((s+1)^3)inverse laplace

\frac{4}{( s + 1 ) ^{3}}

Frequently Asked Questions (FAQ)

What is the derivative of ln(3x^2-5x+2) ?
The derivative of ln(3x^2-5x+2) is (6x-5)/(3x^2-5x+2)
What is the first derivative of ln(3x^2-5x+2) ?
The first derivative of ln(3x^2-5x+2) is (6x-5)/(3x^2-5x+2)