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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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$\frac{d}{db}\left(\frac{a^{-121}b^{-121}}{a^{-2}b^{-2}}\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of (a^(-121)b^(-121))/((a^(-1)b^(-1))^2). The power of a product is equal to the product of it's factors raised to the same power. Simplify the fraction by a. Simplify the fraction by b. Apply the quotient rule for differentiation, which states that if f(x) and g(x) are functions and h(x) is the function defined by {\displaystyle h(x) = \frac{f(x)}{g(x)}}, where {g(x) \neq 0}, then {\displaystyle h'(x) = \frac{f'(x) \cdot g(x) - g'(x) \cdot f(x)}{g(x)^2}}.