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Question
If x = 2at2 , y = 4at, then `dy/dx = ?`
Options
`- 1/(2at^2)`
`1/(2at^3)`
`1/t`
`1/(4at^3)`
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Solution
`bb(1/t)`
Explanation:
x = 2at2 , y = 4at
∴ `dx/dt = 2a(2t) and dy/dx = 4a`
∴ `dx/dt = 4at and dy/dt = 4a`
∴ `dy/dx = (dy/dt)/(dx/dt) = (4a)/(4at) = 1/t`
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