Ex 5.6, 1 If x and y are connected parametrically by the equations without eliminating the parameter, Find ๐๐ฆ/๐๐ฅ, x = 2ใ๐๐กใ^2, y = ใ๐๐กใ^4Here
๐๐ฆ/๐๐ฅ = (๐๐ฆ/๐๐ก)/(๐๐ฅ/๐๐ก)
Calculating ๐ ๐/๐ ๐
๐ฆ = ใ๐๐กใ^4
๐๐ฆ/๐๐ก " =" ใ4๐๐กใ^(4 โ1)
"=" ใ4๐๐กใ^3
Calculating ๐ ๐/๐ ๐
๐ฅ = 2ใ๐๐กใ^2
๐๐ฅ/๐๐ก " =" 2 ร 2๐๐ก
"=" 4๐๐ก
Now,
๐๐ฆ/๐๐ฅ = (๐๐ฆ/๐๐ก)/(๐๐ฅ/๐๐ก)
Putting values
๐๐ฆ/๐๐ฅ = (4๐๐ก^3)/4๐๐ก
๐ ๐/๐ ๐ = t2

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo

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