Final answer to the problem
$\frac{7}{18\sqrt[18]{x^{11}}}$
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Step-by-step Solution
How should I solve this problem?
- Find the derivative
- 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
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
- Integrate by parts
- Load more...
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1
Simplifying
$\frac{d}{dx}\left(\sqrt[18]{x^{7}}\right)$
Learn how to solve differential calculus problems step by step online.
$\frac{d}{dx}\left(\sqrt[18]{x^{7}}\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of (x^(1/2))/(x^(1/9)). Simplifying. 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{7}{18} \times \frac{1}{x^{\left|-\frac{11}{18}\right|}}.
Final answer to the problem
$\frac{7}{18\sqrt[18]{x^{11}}}$
