Question

10:28 Done wamap.org AA Done Online Homework 4 Score: 0/300/30 answered 6 VOO Question 19 0/1 pt 399 Details Use implicit differentiation to find the slope of the tangent line to the curve y 28 + 6 30+ 8y 7 at the point (1, (1, -55 slope = Submit Question <

Answer 1

the slope of this to the tangent Differentiating w.rit. 'x' we get X:3y? + y = (3x y² + x) du = 0 + y² + x dy da dy da - y²-Y -> dy Y² Y dx 3xy?+x at paint (2,1) I- dy ma 3x2x1 + 2 da (2,1) = + mo 4 Then equation of tangeni at (2,1) wdh slope m = 4 زانی T (4-1) = (2-2) - + iti Y 4x + 2 Compare with yo =mx tb and b= ~ 2 ma $ B 2 Question o The given curve is 32² - 4x4 + 3y²=27 and we have to find Slope tangent at point (3,2) Now pifferentiating the equation of curve w.rt. hel we get

T dx alt 6x-4(x du la + y ) +3x3y2date (972 - 4x) dy 44 -6 44-62 da 9y2-4 How at boint (3,2) dy 4x2 - 6x3 |(3,2) (3,2) 9x4 - 4x3 -10 24 m = m = 5 12