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Combine all terms into a single fraction with $11$ as common denominator
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$derivdef\left(\frac{2x-66y}{11}\left(\frac{2x}{11}+6y\right)\right)$
Learn how to solve problems step by step online. Find the derivative of ((2x)/11-6y)((2x)/11+6y) using the definition. Combine all terms into a single fraction with 11 as common denominator. Combine all terms into a single fraction with 11 as common denominator. Multiplying fractions \frac{2x-66y}{11} \times \frac{2x+66y}{11}. Find the derivative of \frac{\left(2x-66y\right)\left(2x+66y\right)}{121} 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{\left(2x-66y\right)\left(2x+66y\right)}{121}. Substituting f(x+h) and f(x) on the limit, we get.