Final answer to the problem
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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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 $\displaystyle f'(x)=\frac{a'}{a}$
Learn how to solve product rule of differentiation problems step by step online.
$\frac{1}{1+\mathrm{sinh}\left(2x\right)}\frac{d}{dx}\left(1+\mathrm{sinh}\left(2x\right)\right)$
Learn how to solve product rule of differentiation problems step by step online. Find the derivative of ln(1+sinh(2x)). 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}. The derivative of a sum of two or more functions is the sum of the derivatives of each function. Taking the derivative of hyperbolic sine. The derivative of the linear function times a constant, is equal to the constant.