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$derivdef\left(\frac{21y^3}{7y^2}\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of (21x^2y^3)/(7x^2y^2) using the definition. Simplify the fraction . Simplify the fraction \frac{21y^3}{7y^2} by y. Take \frac{21}{7} out of the fraction. Find the derivative of 3y using the definition. Apply the definition of the derivative: \displaystyle f'(x)=\lim_{h\to0}\frac{f(x+h)-f(x)}{h}. The function f(x) is the function we want to differentiate, which is 3y. Substituting f(x+h) and f(x) on the limit, we get.