Question

$\frac{d}{dy}$ is an operator which takes a function as its input and returns its derivate or instantaneous rate of change with respect to x.

• A. True
• B. False

Answer 1

The correct option is B False

$\frac{d}{dx}$ as mentioned in the videos is the operator which will take a function as its input and will return its derivative with respect to x. But there is a catch in the question. If you carefully see the operator given in the question is $\frac{d}{dy}$ and not $\frac{d}{dx}$.$\frac{d}{dy}$ will give the derivative of the function with respect to y and not with respect to x. Hence the statement is false. In short d/dx gives the derivative of the function w.r.t x and $\frac{d}{dy}$ gives the derivative of the function w.r.t. y.