Final answer to the problem
$\frac{-8\cos\left(2\ln\left(x\right)\right)-6\sin\left(2\ln\left(x\right)\right)}{x^2}$
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Step-by-step Solution
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- Find the derivative using the definition
- Find the derivative using the product rule
- Find the derivative using the quotient rule
- Find the derivative using logarithmic differentiation
- Find the derivative
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
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1
Simplify the derivative by applying the properties of logarithms
$\frac{d^2}{dx^2}\left(\cos\left(2\ln\left(x\right)\right)+2\sin\left(2\ln\left(x\right)\right)\right)$
Learn how to solve higher-order derivatives problems step by step online.
$\frac{d^2}{dx^2}\left(\cos\left(2\ln\left(x\right)\right)+2\sin\left(2\ln\left(x\right)\right)\right)$
Learn how to solve higher-order derivatives problems step by step online. Find the higher order (2) derivative of cos(ln(x^2))+2sin(ln(x^2)). Simplify the derivative by applying the properties of logarithms. Find the (1) derivative. Simplifying. Find the (2) derivative.
Final answer to the problem
$\frac{-8\cos\left(2\ln\left(x\right)\right)-6\sin\left(2\ln\left(x\right)\right)}{x^2}$
