alleryUsing the QUOTIENT rule, d/dx [f(x)/g(x)] equals:
A$f'(x) \cdot g'(x)$ (wrong, just product of derivatives)
B$f'(x)/g'(x)$ (incorrect)
C$(f'(x) + g'(x))/(g(x)^2)$ (wrong combination)
D$(f'g - fg')/g^2$ (the correct quotient rule)
Answer & Solution
Correct answer: D. $(f'g - fg')/g^2$ (the correct quotient rule)
**Quotient rule:** d/dx [f/g] = (f'g − fg')/g².
**Mnemonic:** 'low d-high minus high d-low, over low-low'.
**So derivative of top times bottom minus derivative of bottom times top, all over bottom squared.**
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