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# Find the derivative of $9^{\frac{1}{3}}\left(\sqrt{2}+1\right)^{\frac{1}{3}}\left(27-2\sqrt{162}\right)^{\frac{1}{6}}$

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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
• Find the derivative
• Integrate by partial fractions
• Product of Binomials with Common Term
• FOIL Method
• Integrate by substitution
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Simplifying

$\frac{d}{dx}\left(\sqrt[3]{9}\sqrt[3]{\sqrt[4]{4}+1}\sqrt[6]{27-18\sqrt{2}}\right)$

Learn how to solve differential calculus problems step by step online.

$\frac{d}{dx}\left(\sqrt[3]{9}\sqrt[3]{\sqrt[4]{4}+1}\sqrt[6]{27-18\sqrt{2}}\right)$

Learn how to solve differential calculus problems step by step online. Find the derivative of 9^(1/3)(2^1/2+1)^(1/3)(27-2162^1/2)^(1/6). Simplifying. Simplifying. The derivative of the constant function (2.2362964\sqrt[3]{\sqrt[4]{4}+1}) is equal to zero.

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###  Main Topic: Differential Calculus

The derivative of a function of a real variable measures the sensitivity to change of a quantity (a function value or dependent variable) which is determined by another quantity (the independent variable). Derivatives are a fundamental tool of calculus.