Q.1 (A) (iii) If y=e^(log x) then dy/dx is A. frace^(log x)x B. 1/2 C. 1 D. both (a) and (c)

Answer: D. both (a) and (c) Answer: (d) both (a) and (c) By the chain rule dy/dx=e^(log x)·1/x=frace^(log x)x . Also e^(log x)=x , so this equals x/x=1 . Hence both (a) and (c) are correct.

If \(y=e^{\log x}\) then \(\frac{dy}{dx}\) is

Q.1 (A) (iii) If \(y=e^{\log x}\) then \(\frac{dy}{dx}\) is

A. \(\frac{e^{\log x}}{x}\)

B. \(\frac{1}{2}\)

C. 1

D. both (a) and (c)

Doubtly Asked 28 Oct 2026 Board exam · June 2026 hsc 12th Save WhatsApp Report

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Answer: D. both (a) and (c)

Answer: (d) both (a) and (c)

By the chain rule \(\frac{dy}{dx}=e^{\log x}\cdot\frac{1}{x}=\frac{e^{\log x}}{x}\). Also \(e^{\log x}=x\), so this equals \(\frac{x}{x}=1\). Hence both (a) and (c) are correct.

Doubtly AI · 28 Oct 2026 AI-verified · Oct 2026 Report

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If \(y=e^{\log x}\) then \(\frac{dy}{dx}\) is

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