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The power of a product is equal to the product of it's factors raised to the same power
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$derivdef\left(\frac{16x^{6}}{8x^{6}}\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of ((4x^3)^2)/((2x^2)^3) using the definition. The power of a product is equal to the product of it's factors raised to the same power. Simplify the fraction . Divide 16 by 8. Find the derivative of 2 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 2. Substituting f(x+h) and f(x) on the limit, we get.