Find dy/dx implicit differentiation of each equation and evaluate at the given point to find the slope at that point.

(x+y)3=x3+y3 at (-1,1)

Differentiate both sides with respect to . By the power and chain rules, we have

Solve for :

At the point (-1, 1), the slope of the tangent line to the curve is

(3x-8) or (3x+8)

step-by-step explanation:

answer: cos [   arcsin (3/5) - arccos (1/2) ] =

step-by-step explanation: × = 3/5 = 0.6--> x = 36.87 and x = 180 - 36.87 = 143.13 deg

cos y = 1/2 --> y = +- 60 deg a. cos (x - y) = cos (143.13 - 60) = cos 83,13  

=

0.12

b. cos (36.87 - 60) = cos (-23.23) = 0.92