dy e 3. Determine the derivative ax for y = 4 C 4x a dy dy e dx = @* dx = 4 b dy 4x d dy dx = 16 dx = ex dy 4. Determine the derivative dx of ) = 5-2x+7 a dy c dy dx = -2(5-28+7 ) In5 . dx - (5-2x+7) In 2 b dy d dy dx = 2(5-2*+7) In 2 . dx = (5-2x+7)In5 5. Determine the equation of the tangent to the function f(x) = 4* X = -0.25. at the point with x-coordinate a -(In4)x+ y-0.5 = 0 (In 4) x + y+ (0.25 + 0.25(In4)) = 0 b -(In4)x+y- (0.25 + 0.25(14))=0 d -(In 4)x+ y- (0.25) = 0APPLICATION 11. For the function f(x) = x e* determine the intervals of increase and decrease. 4A 12. Two concentrations of two medicines in the blood stream t hours after injection are m(1) = (5t)e and n(1) = 51-(e*). a. Which medicine has the larger maximum concentration? 4A b. Within the first 30 minutes, which medicine has the larger maximum concentration? 2AC December the a-coordinate of the point for which the tangent is horizontal to the function for. 3 2. Determine the derivative dix for Y = 5 sin(2x - 4) C dy dx - -5 sin(2x - 4) d If Scos(25 - 4) dy dx _ -10 sin(2x - 4) at - 10 cos(2x -4) dy 8. Determine the derivative dx for ) = 3 cos(8x + 6) C dy dx = -24 sin(8x + 6) di - 24 sin(8 + 6) d dy b dy ix = -24 cos(8 + 6) dx = 24 cos(8x + 6) 9. Determine the equation of the tangent to the curve ) = 3095x at the point with x-coordinate X. " Ity+ ( 7 - 8)=0 Y - ( 7+ 5 ) =0 6 - x+ y - (7 -3) =0 dy 10. Determine the derivative dx for ) = tan (e*) a dy dx - 2tan(e" ) C dy dx = 20" tan(e*) sec' (e" ) b dy dx - 2e" tan(e" ) d dy dx _ 2tan(e") sec'(2)