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What will be the perimeter and the area of the rectangle below if it is enlarged using a scale factor of 4.5? A rectangle is shown. The length of the rectangle is labeled as 8 cm, and the width is labeled as 6 cm. Perimeter = 46 cm, area = 131.25 cm2 Perimeter = 126 cm, area = 972 cm2 Perimeter = 46 cm, area = 972 cm2 Perimeter = 126 cm, area = 131.25 cm2 got anything?
use implicit differentiation
Is that when you set it equal to y and then derive it?
find the derivative with respect to x term by term
So I would get 2x=lnxy first correct?
you treat y as a function of x
the 2x is correct but you use the Chain and product Rules to differentiate the right side
2x = (1/ (xy) * (x dy/dx + y) now you make dy/dx the subject
What do you mean by make it the subject? Like solve for that?
yes solve for dy/dx
Would it be 2x^2y=dy/dx?
dy/dx = y( 2x + 1/x)
sorry that's dy/dx = y (2x - 1/x)
Okay and then with that would I plug in the given values?
ckeck my algebra
yes plug in x = 1 and y = e
So it would just equal e correct?
dy/dx = e(2 - 1/e) = 2e - 1
You divided by e when you should divide by x, which is 1.
oh so I did!! your are correct its e
Okay thank you so much for you help!!!