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$derivdef\left(\frac{9r^3}{3pr}\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of (9q^2r^3)/(3pq^2r) using the definition. Simplify the fraction . Simplify the fraction \frac{9r^3}{3pr} by r. Cancel the fraction's common factor 3. Find the derivative of \frac{3r^{2}}{p} 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 \frac{3r^{2}}{p}. Substituting f(x+h) and f(x) on the limit, we get.