Question
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Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Suppose that we have two functions f(x) and g(x) and they are both differentiable.
- Chain Rule:
- Product Rule:
- log ab = b log a
Calculation:-
Taking log both sides, we get
⇒
⇒ log xm + log yn = log x + log y + log am+n
⇒ m log x + n log y = log x + log y + (m + n) log a
Differentiate both sides w.r.t x, we get
⇒
⇒
⇒
The correct option is 3.
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