CPM Homework Help : CALC Problem 8-67

Find for the following functions. Then evaluate the derivative at the given point. Homework Help ✎
1. = 1; (1,1)
2. x²y − y³= 8; (−3, 1)

Step 1 (a):

$-2x^{-2}+y^{-2}y^\prime=0$

Step 2 (a):

$-2(1)^{-2}+(1)^{-2}y^\prime=0$

Now solve for y^′.

Step (b):

$2xy+x^2y^\prime-3y^2y^\prime=0$