Final answer to the problem
Step-by-step Solution
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- Choose an option
- 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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Apply the product rule for differentiation: $(f\cdot g)'=f'\cdot g+f\cdot g'$, where $f=\ln\left(x\right)$ and $g=1+\mathrm{sinh}\left(2x\right)$
Learn how to solve sum rule of differentiation problems step by step online.
$\frac{d}{dx}\left(\ln\left(x\right)\right)\left(1+\mathrm{sinh}\left(2x\right)\right)+\frac{d}{dx}\left(1+\mathrm{sinh}\left(2x\right)\right)\ln\left(x\right)$
Learn how to solve sum rule of differentiation problems step by step online. Find the derivative of ln(x)(1+sinh(2x)). Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=\ln\left(x\right) and g=1+\mathrm{sinh}\left(2x\right). 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}. Multiply the fraction by the term . The derivative of a sum of two or more functions is the sum of the derivatives of each function.
