Please help with questions 12-17 (please show work).

DERIVATIVE INTERVENTION The problems in this assignment are meant to be done in the order presented. They build on each other. Stop and check after each block. When you get a problem wrong, do it again. You will need to know the power rule, rules for the derivatives of the 6 primary trigonometric functions, the chain rule, the product rule, and implicit differentiation. Make sure that you know the difference in structure of functions that require the use of the product rule as compared to those that need the chain rule. Find Y d.x 1. y = xi 27.y = vsecx 55.y = cot (x3 + 7) 2. y = Vx 28.y = VCSCX 56.y = vx2 + 8 3. y = X: 29.y = vcotx 57.y = Vx3+9 4. y = Vx 5. y = sin (x + 2) 30.y = sinx 58.y = sin x 31.y = cosx2 6. y = cos (x + 3) 59.y = cos x 32.y = tanx3 7. y = tan (x + 4) 60.y = tan x 8. y = sec (x + 5) 33.y = secx4 61.y = sec# x 9. y = csc (x +6) 34.y = cscx5 62.y = cscz x 10.y = cot (x + 7) 35.y = cotx6 63.y = cots x 11.y = vx + 8 36.y = Vx7 64.y = Vx 37.y = Vx8 65.y = Vx 12.y = sin vx 38.y = xsinx 66.y = Vx* 13.y = cosvx 67.y = Vx 14.y = tanvx 39.y = xcosx 40.y = xtanx 15.y = sec vx 68.y = Vx 41.y = xsecx 16.y = cscvx 42.y = XCscx 69.y = sinx3 17.y = cot vx 43.y = xcotx 70.y = cos3 44.y = xsiny 71.y = tan x4 18.y = siny 45.y = ycosx 72.y = sec#x2 19.y = cosy 46.y = xtany 73.y = csc3 20.y = tany 47.y = ysecx 74. y = cot2 x2 21.y = secy 48.y = xcscy 22.y = cscy 49.y = ycotx 75.y = x3sin2 x 23.y = coty 76.y = x2cos3 x 50.y = sin (x2 + 2) 77.y = x4tan x 24.y = vsinx 51.y = cos (x3 + 3) 78.y = x2sect x 25.y = Vcosx 52.y = tan (x= + 4) 79.y = x*csc3 x 26.y = vtanx 53.y = sec (x3 +5) 80. y = x cot x 54.y = csc (x2 + 6)