How Do You Find The Approximate Percentage Increase Of Say Y=x3 Resulting From An Increase Of 2% In X?

As Y and x are related with each other therefore, whenever, there will be a change in the value of x, there will be an obvious change in y. Now, as there is 2% change in x therefore, the new value will be x + 0.2x = 1.2x. Now putting this new value in the equation we will get,

y = x³
y =  (x + 0.2x)³
y =  (1.2x)³
y =  1.728x³

Now, change in y = 1.728x³ - x³

Change in y = 0.728x³

Percentage change in y = (0.728x³/x³)*100

Percentage change in y = (0.728x³/x³)*100

Percentage change in y = 72.8x³ %