Question 23 O Mark this question Find the third derivative of f(x) = xsinx. O f"(x) = COSX O f"(x) =2cosx -xsinx O f"(x) = - 2cosx + xsinx Of"(x) = - COsx SAVE & CONTINUEQuestion 26 O Mark this question 6 Find the derivative of f(x) = In 2x5 - 7 Of ( x ) = = 10x 4 X 2x5 - 7 Of ( x ) = 6 10 x4 X 2x5 - 7 OF ( X ) = = 1 2x 5 - 7 O f'(x) = 6In(x)-In(2x5 -7) SAVE & CONTINUEQuestion 19 Using the graph of .s'" .. i = T, .. 9:, estimate the derivative of fix 1 when - = - " SAVE & CONTINUE Question 24 O Mark this question A square is to be designed with sides of length 32 cm. Use differentials to estimate the maximum error when measuring the area of the square if the possible error in measuring the side is 0.35 cm. O 125.44 cm O 22.4 cm O 1024 cm 64 cm2 SAVE & CONTINUEQuestion 22 O Mark this question Find the derivative of g(x) = O g'(x) = - 8 O g'(x) = 8 O g'(x) = _ _ 6 X O g'(x) = 7x 8 SAVE & CONTINUEQuestion 18 A model walks a straight runway at the speed of l5 meters per second. A spotlight is located on the same plane as the runway 6 meters from the runway and is kept focused on the model. At what rate is the spotlight rotating when the model is 4.5 meters from the point on the runway closest to the spotlight? Spotlight SAVE 8; CONTINUE Question 25 O Mark this question Find the derivative of f(x) = - 5x2log7(2x4 + 13). 80x4 O f ( x ) = - 2x4+ 13 O f'(x)= - 10xlog7(2x4 + 13)- 40x5 (2x4 + 13)In7 180x4 O f ( x ) = - (2x4 + 13)In7 O f(x) = - 10xlog7(2x4 +13)- 40x5 2x4 +13 SAVE & CONTINUEQuestion 20 O Mark this question Find the linear approximation of f(x) = VX when x = 81. O L(X) = 81+ 27 -(x-81) O L(X) =3+1 108 (X-81) O L(x) =3- 27 4 -(x-81) O L(x) = 81+ - 108 (x -81) SAVE & CONTINUEQuestion 21 O Mark this question Find the derivative of y = arctan(5x2 - 1). dy 10x O dx 25x4 - 10x2+ 2 dy 10x O dx 25x4 - 10x2 + 2 dy O dx 25x4 - 10x2+2 dy O = dx 25x4 - 10x-+2 SAVE & CONTINUE