Let y=5x2.
Find the change in y, change in y when x=5 and change in x=0.4
Find the differential dy when x=5 and dx=0.4

Question

Let y=5x2. 
Find the change in y, change in y when x=5 and change in x=0.4  
Find the differential dy when x=5 and dx=0.4

anonymous · Answer

First of all, we'll have to subsitute x in the following equation to figure out the change in y and you'll get as follows:$$y = 5(5)^2 = 125$$ so y = 125 when x = 5 

as for the second one:



$$y = 5(0.4)^2 = $$ so y = 4/5 when x = 0.4

and the last part, differentiate the equation and you'll get :

$$y = 10x$$

I'll leave this one for you since I have showed you how to find the change of y in the first part, all you have to dp is substitute x to find out.

Good Luck!

^_^

anonymous · Answer

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