Final answer to the problem
Step-by-step Solution
Specify the solving method
Apply the product rule for differentiation: $(f\cdot g)'=f'\cdot g+f\cdot g'$, where $f=
Learn how to solve definite integrals problems step by step online.
$\frac{d}{df}\left(f\right)\ln\left(\frac{x^5}{3x^2+6x+2}\right)+f\frac{d}{df}\left(\ln\left(\frac{x^5}{3x^2+6x+2}\right)\right)$
Learn how to solve definite integrals problems step by step online. Find the derivative of fln((x^5)/(3x^2+6x+2)). Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=. The derivative of the linear function is equal to 1. The derivative of the natural logarithm of a function is equal to the derivative of the function divided by that function. If f(x)=ln\:a (where a is a function of x), then \displaystyle f'(x)=\frac{a'}{a}. Divide fractions \frac{1}{\frac{x^5}{3x^2+6x+2}} with Keep, Change, Flip: a\div \frac{b}{c}=\frac{a}{1}\div\frac{b}{c}=\frac{a}{1}\times\frac{c}{b}=\frac{a\cdot c}{b}.