O Mark this question Question 1 x' . tanx Using logarithmic differentiation, find the derivative of y = 4x3- 10 dy 5. tanx 12x2 O + secxcscx + dx 4x3 - 10 X 4x3 + 10 5 12x2 O = + secxcsex + dx X 4x3 + 10 O dy x . tanx 5 12x2 + secxcscx - dx 4x3- 10 X 4x3 + 10 5 12x2 O dy + secxcscx - dx X 4x3 + 10 SAVE & CONTINUEQuestion 5 O Mark this question Consider the function f(x) = VX near x = - 1. Find the linear approximation error when using the linear approximation to estimate V - 0.75. O -1.82523 O 1.82523 O -0.00811 O 0.00811 SAVE & CONTINUEQuestion 2 O Mark this question Find the derivative of f(x) = - 15sinx + +37/x-5. O f'(x) = 15cosx + 11 3 4x 3 6 7 7x O f(x)= - 15cosx + 71 3 5 4x 7x O f(x) = 15cosx - 44 3 5 6 7x O f'(x)= - 15cosx 44 3 6 7 7x SAVE & CONTINUEQuestion 7 O Mark this question 30 7x Find the derivative of f(x) = 4x3 +3x -1 O f(x)= 2107x 12x-+3 O f(x)= _-84x e/* +36x2e7% -63xe7*+30e 7X (4x 3+3x- 1)2 OF ( X ) = 84x30 7x -36x297* +63xe7x -30ex (4x3 + 3x-1)2 O f'(x) = 84x @7* +36x207* +63xe 7x - 1207x (4x3 + 3x - 1)2 SAVE & CONTINUE Report an issue with this questionQuestion 4 O Mark this question Find the derivative of f(x) = - 12sinx +x'cosx. O f'(x) = 12cosx + 7xcosx +x'sinx O f'(x)= - 12cosx + 7xcosx -x'sinx O f'(x) = - 12cosx - 7x'sinx O f'(x) = 12cosx + 7xsinx SAVE & CONTINUE Report an issue with this question\fQuestion 6 O Mark this question Determine if the function f(x) = Vx is differentiable at x = 0. If not, identify why. O f(x) =Vx' is not differentiable at x = 0 because lim x3 does not exist. x + 0+ O f(x) =Vx3 is differentiable at x = 0. O f(x) =Vx is not differentiable at x = 0 because f(0) is not defined. O f(x) = Vx' is not differentiable at x = 0 because f'(0) is not defined. SAVE & CONTINUEQuestion 3 O Mark this question The cost function, C(x), in dollars for producing x units is given by C(x) = 0.17x2+ 25x +650. Approximate the cost of producing the 24th unit by using the marginal cost. O $32.82 O $33.16 O $1347.90 O $1314.90 SAVE & CONTINUEQuestion 9 O Mark this question Let f(x) = (12x2+36)5. Find the differential, df. O of = 5(12x2+36)4dx O of =5(12x2 +36)4 O of = 120x(12x2 +36)4 O of = 120x(12x2 +36)4dx SAVE & CONTINUE