Q.2 (A)(ii) Find dy/dx if, x = e^3t,\ y = e^((4t+5))

Answer: dy/dx = 4/3e^(t+5) dx/dt = 3e^3t and dy/dt = 4e^(4t+5). dy/dx = dy/dt/dx/dt = dfrac4e^(4t+5)3e^3t = 4/3e^(t+5).

Find \(\dfrac{dy}{dx}\) if, \(x = e^{3t},\ y = e^{(4t+5)}\)

Q.2 (A)(ii) Find \(\dfrac{dy}{dx}\) if, \(x = e^{3t},\ y = e^{(4t+5)}\)

Doubtly Asked 29 Oct 2026 Board exam · March 2024 hsc 12th Save WhatsApp Report

Best answer

Answer: \(\dfrac{dy}{dx} = \dfrac{4}{3}e^{t+5}\)

\(\dfrac{dx}{dt} = 3e^{3t}\) and \(\dfrac{dy}{dt} = 4e^{4t+5}\).

\(\dfrac{dy}{dx} = \dfrac{dy/dt}{dx/dt} = \dfrac{4e^{4t+5}}{3e^{3t}} = \dfrac{4}{3}e^{t+5}\).

Doubtly AI · 29 Oct 2026 AI-verified · Nov 2026 Report

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