Question

For a function given by $y=f\left(t\right)\text{and}x=g\left(t\right)$. Then$\frac{dy}{dx}$ can be expressed as
$\frac{\frac{df\left(t\right)}{dt}}{\frac{dg\left(t\right)}{dt}}$

• A. True
• B. False

Answer 1

The correct option is A

True

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

Now,
$\frac{dy}{dx}=\frac{\frac{dy}{dt}}{\frac{dx}{dt}}=\frac{\frac{df\left(t\right)}{dt}}{\frac{dg\left(t\right)}{dt}}$