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Derive the function ln(((3x+2)^2)/(x^4+7)) with respect to x

\frac{d}{dx}\left(\ln\left(\frac{\left(3x+2\right)^2}{x^4+7}\right)\right)

Step by step solution

Problem

$\frac{d}{dx}\left(\ln\left(\frac{\left(3x+2\right)^2}{x^4+7}\right)\right)$

Show full step-by-step solution

Answer

$\frac{6\left(7+x^4\right)\left(2+3x\right)-4\left(2+3x\right)^2x^{3}}{\left(2+3x\right)^2\left(7+x^4\right)}$

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Problem Stats

Main topic:

Differential calculus

Used formulas:

7

Time to solve it:

0.6 seconds

Views:

96