# Differentiation 3 - COE

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- Created by: Ank Rughani
- Created on: 10-03-11 12:19

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E.g. Find the gradient of the curve x^2 -3xy +x^2=31 at the point (2,-3)?

Differentiate with respet to x

2x-3x*dy/dx-3y+2y*dy/dx=0

dy/dx (2y-3x) = 3y-2x

dy/dx = (3y-2x)/(2y-3x) = (3*-3)-(3*-2)/ (2*-3)-(3*2) = (-9-4)/(-6-6) = -13/-12 = 13/12

Consider y=a^x (a>0) and take logs to the base e of both sides

lny = ln(a^x…

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