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$derivdef\left(\frac{54x^2}{-6x}\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of (54x^2y^2z^3)/(-6xy^2z^3) using the definition. Simplify the fraction . Simplify the fraction \frac{54x^2}{-6x} by x. Take \frac{54}{-6} out of the fraction. Find the derivative of -9x 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 -9x. Substituting f(x+h) and f(x) on the limit, we get.