Home /
Expert Answers /
Calculus /
2-determine-the-equation-of-the-tangent-and-normal-line-to-the-following-functions-a-x-2-3-pa742
(Solved): 2. Determine the equation of the tangent and normal line to the following functions. a. \( x^{2}-3 ...
2. Determine the equation of the tangent and normal line to the following functions. a. \( x^{2}-3 x y+2 y^{2}=3 \) at point \( (1,2) \) b. \( y=x^{3}-x^{2} \) at point \( (1,0) \) c. \( x^{2}=x y=9-3 y^{2} \) at point \( (1,0) \)
Expert Answer
Solution : Part A) given function x2?3xy+2y2=3 Now on differntiating wrt x we get : 2x?3[dydx+y]+4ydydx=0 2x?3dydx?3y+4ydydx=0 ?dydx[4y?3]=3y?2x ?dydx