Final Answer
$\frac{630\sqrt[30]{x^{43}}+2100\sqrt[6]{x^{17}}-2}{3\sqrt[3]{x}}$
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Step-by-step Solution
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Simplifying
$\frac{d}{dx}\left(100\sqrt[10]{x^{21}}+200\sqrt{x^{7}}-\sqrt[3]{x^{2}}-2\right)$
Learn how to solve differential calculus problems step by step online.
$\frac{d}{dx}\left(100\sqrt[10]{x^{21}}+200\sqrt{x^{7}}-\sqrt[3]{x^{2}}-2\right)$
Learn how to solve differential calculus problems step by step online. Simplify the expression f(x)=100x^21^1/10+200x^7^1/2-x^2^1/3+-2. Simplifying. The derivative of a sum of two or more functions is the sum of the derivatives of each function. The derivative of the constant function (-2) is equal to zero. The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function.
Final Answer
$\frac{630\sqrt[30]{x^{43}}+2100\sqrt[6]{x^{17}}-2}{3\sqrt[3]{x}}$