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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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Simplify the derivative by applying the properties of logarithms
Learn how to solve quotient rule of differentiation problems step by step online.
$\frac{d}{dx}\left(\sqrt[162]{x^{79}}\right)$
Learn how to solve quotient rule of differentiation problems step by step online. Find the derivative d/dx((x^(1/2))/(x^(1/81))). Simplify the derivative by applying the properties of logarithms. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}. Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number. Multiplying fractions \frac{79}{162} \times \frac{1}{x^{\left|-\frac{83}{162}\right|}}.