Question

x=a(t^2), y=2 at then dy/dx=​

Answer 1

Thanks for asking :)

Answer :

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Given : -

Y = 2at

$\frac{dy}{dt} \: 2a \: \frac{d}{dt} (t) \: = 2a \: (1) \: 2a$

here,

$x \: = \: at {}^{2}$

$\frac{dx}{da} = \: a \: \frac{d}{dt} (t) {}^{2} = a(2t \:) = 2at$

Now,

$\frac{dy}{dx} = \frac{dy}{dt} \div \frac{dx}{dt} = \frac{2a}{2at} =\frac{1}{t}$

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