Final answer to the problem
$f\left(x\right)=4\cos\left(3x\right)\ln\left(x\right)$
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Step-by-step Solution
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- Write in simplest form
- Solve by quadratic formula (general formula)
- Find the derivative using the definition
- Simplify
- Find the integral
- Find the derivative
- Factor
- Factor by completing the square
- Find the roots
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1
Using the power rule of logarithms: $\log_a(x^n)=n\cdot\log_a(x)$
$f\left(x\right)=4\cos\left(3x\right)\ln\left(x\right)$
Final answer to the problem
$f\left(x\right)=4\cos\left(3x\right)\ln\left(x\right)$