Final answer to the problem
$f\left(x\right)=\tan\left(\ln\left(\sin\left(5x^3-2e^x\right)^2\right)\right)$
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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
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1
Using the power rule of logarithms: $n\log_b(a)=\log_b(a^n)$, where $n$ equals $2$
$f\left(x\right)=\tan\left(\ln\left(\sin\left(5x^3-2e^x\right)^2\right)\right)$
Final answer to the problem
$f\left(x\right)=\tan\left(\ln\left(\sin\left(5x^3-2e^x\right)^2\right)\right)$
