Can someone please help with this math problem

Given:

The function is:

To find:

The derivative of the given function at x=1, i.e., y'(1).

Solution:

Chain rule of differentiation:

We have,

Differentiate with respect to x.

Putting , we get

From the given table of values it is clear that f(1)=3 and f'(1)=3. Putting these values in the above equation, we get

Therefore, the value of y'(1) is 18.

table 3 represents a direct variation function. : )