For a function given by y-ft and x-gt- Thendydx can be expressed asdftdtdgtdt

Here x and y are represented parametrically in terms of t. Now, dydx=dydtdxdt=df(t)dtdg(t)dt ...

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Standard XII

Mathematics

Algebra of Derivatives

For a functio...

Question

For a function given by $y = f (t) and x = g (t)$ . Then $\frac{d y}{d x}$ can be expressed as
$\frac{\frac{d f (t)}{d t}}{\frac{d g (t)}{d t}}$

True

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False

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Solution

The correct option is A
True

Here $x$ and $y$ are represented parametrically in terms of $t$ .

Now,
$\frac{d y}{d x} = \frac{\frac{d y}{d t}}{\frac{d x}{d t}} = \frac{\frac{d f (t)}{d t}}{\frac{d g (t)}{d t}}$

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For a function given by y=f(t) and x=g(t). Thendydx can be expressed as df(t)dtdg(t)dt

The correct option is A True Here x and y are represented parametrically in terms of t. Now, dydx=dydtdxdt=df(t)dtdg(t)dt

For a function given by $y = f (t) and x = g (t)$ . Then $\frac{d y}{d x}$ can be expressed as
$\frac{\frac{d f (t)}{d t}}{\frac{d g (t)}{d t}}$

The correct option is A
True

Here $x$ and $y$ are represented parametrically in terms of $t$ .

Now,
$\frac{d y}{d x} = \frac{\frac{d y}{d t}}{\frac{d x}{d t}} = \frac{\frac{d f (t)}{d t}}{\frac{d g (t)}{d t}}$