MATH1722 Test 2 Solutions(1)

MATH1722 Mathematics Foundations: Specialist | Test 2 1. Find the derivative 3@_{ of the following equation using implicit differentiation: T 3 + x" —siny + v 3. [3 marks] 2 2 | -/ . Yo ngw - VL. CXQ,., 3 AT ~ 274" e = " Sx N R

MATH1722 Mathematics Foundations: Specialist | Test 2 3 2. Consider the function y = 3zt + 42° — 3622 + 40. a) Locate and classify the critical points of the function y = 32 + 42 — 3622 + 40. [4 marks| — - Vi a2 T S (%;(x;vxg} &QL\ © AL ('ii&}\;% Q':i " rQ Vs - , - > O R A B Vo VYT X =-2 / O . X 0 v oa NAK 2020 2 ) ' : | A" Dy X2 vy e WY

MATH1722 Mathematics Foundations: Specialist | Test 2 b) Locate any inflection points of the function y = 32 4 42 — 3622 + 40. \nlocke 26x* A lwo =72 =20 %" y 2 -6 =0 SR I BN PCI ROV (D (2D 4 |3 marks]