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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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Apply the product rule for differentiation: $(f\cdot g)'=f'\cdot g+f\cdot g'$, where $f=x^2+6$ and $g=\mathrm{coth}\left(\frac{x}{7}\right)$
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$\frac{d}{dx}\left(x^2+6\right)\mathrm{coth}\left(\frac{x}{7}\right)+\left(x^2+6\right)\frac{d}{dx}\left(\mathrm{coth}\left(\frac{x}{7}\right)\right)$
Learn how to solve sum rule of differentiation problems step by step online. Find the derivative of (x^2+6)coth(x/7). Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=x^2+6 and g=\mathrm{coth}\left(\frac{x}{7}\right). The derivative of a sum of two or more functions is the sum of the derivatives of each function. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}. Taking the derivative of hyperbolic cotangent.