Question

a) b) 54-1+1 Use logarithmic differentiation to find the first derivative of y= (3x² +2) 13 Evaluate the integration I, where I = dt 5t2 3 If f'(x) == Vx+ and the curve f(x) passes through the point (0,2) 2 2 i) Find f(x) 11) Find the local extreme (if any) of f(x) using second derivative test. d) Evaluate using integration by parts: 5 (0)do, where f(O)=(0+1) sin 30 Page 4 of 5

Answer 1

rel Any: ya (30P2+2) side tabe en both In (321+ 2ybe my Iny a √ lm (307+2) to a differ with respect In (378427 424) I dy I*(621) t X M (3x2+2) daca 6 е b) Is dt un, (whats a les mans · su pago) My | 43-lejartas & J tot + ] at +44*] d + I = It 5 S Т+ It +२ tc 10 St Ary

Ary flcao= -3 Jait 3 pomis (0,2) f(x2 (1) + Exc f(20) 03/2+ 3x+C 20 y = f(x)=2 Ca 312. f(20299 -207 + 33+2 f(30 to 63 3 Jat elo Jo=1 2:4 f"(8677 (-3) ** to et xal F1 (20) Lo maxmum f( 15 mainom st fondo flon (8 +1) Sm3o (0+1) smo do

(0+000330 3 Seconi). S sm30.do} de -(0+1)C0330 + Scope do 3 | 401)0:2O + smage +c Ans