FIND THE dy/dx, x=at2 , y= 2at

 Differentiating x w.r.t 't'

therfore,dx/dt=2at----(1)

Differentiating y w.r.t. 't'

therefore dy/dt=2a-----(2)

dividing 2 by 1

therefore dy/dx=1/t 

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x=at2      d/dx=2at

y=2at  d/dy=2a

we know that dy/dx ,then

dy/dx=d/dy/d/dx=2at/2a

=1/t

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find f sin 2x cos 3x dx
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