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$\frac{d}{dx}\left(\sqrt{x^{3}}-3x^2y^4=-\sqrt[3]{y^{2}}\right)$
Learn how to solve differential calculus problems step by step online. Find the implicit derivative of x^3^1/2-3x^2y^4=-y^2^1/3. Simplifying. Apply implicit differentiation by taking the derivative of both sides of the equation with respect to the differentiation variable. The derivative of a function multiplied by a constant is equal to the constant times the derivative of the 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}.