Question

let x and y be functions of paraeter teta then dy/dx

Answer 1

Answer :

Let us take

x = f (θ) ...(i)

y = g (θ) ...(ii)

Now, take differentials, we get

dx = f'(θ) dθ ...(iii)

dy = g'(θ) dθ ...(iv)

Now, $\frac{(iv)}{(iii)} \implies$

$\frac{dy}{dx} = \frac{g'(\theta)}{f'(\theta)}$

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