3x2 tan x If f ( ac) = , find sec x f'(x) = 6 sin(ac) + 3x2 3x2 sin? ( 2) X cos ( x ) cos (a ) Find f' (2)= Question Help: DVideo Message instructorO Question 17 0/1 pt 9 100 99 0 Details Find the interval containing x = 0 where f(x) = 81x - tan(x) is increasing. Write your answer as an open interval in the form (a, b). Give exact values, not a decimal approximations, for the endpoints. To express the inverse cosine function cos (a), type arccos(x). Interval:O Question 1 0/1 p Find the slope of the tangent line to the curve -1x2 + 4xy - 4y3 = - 313 at the point ( - 3, 4). AA astructor0 Question 2 [1" 0/1 pt '0 If 3m2 + 2:1: + my 2 5 and y(5) = 16, find y'(5) by implicit differentiation. :1 Question Help: 8 Message instructor I Question 3 E 0/1 pt '0 100 2:3 99 Q) Details Use implicit differentiation to find the equation of the tangent line to the curve my3 + my 2 16 at the point (8, 1). The equation of this tangent line can be written in the form y 2 mm + b where m is: and where b EC] Question Help: 8 Message instructor D Question 4 0/1 pt 9 100 99 @ D If va + y = 10 and y(25) = 25, find y'(25) by implicit differentiation. Question Help: D Video Message instructor Submit Question0 Question 5 [3 0/1 pt '0 100 23 99 6) Details Use implicit differentiation to find the point in the first quadrant on the ellipse 451:2 + 4y2 2 18.25 where the slope of the tangent line is 0.375. What is the x-coordinate of that point? Question Help: 8 Message instructor \f0 Question 7 80/1 pt '0 100 23 99 G d Use implicit differentiation to determine _y given the equation 3:2 + y3 = 7. dz: dy a:] Question Help: 8 Message instructor 0 Question 8 [Z 0/1 pt '0 100 2:3 99 (D Details The curve below has a horizontal tangent line at the point ( 5, 8) and at one other point. Find the coordinates of the second point where the curve has a horizontal tangent line. 25m2 + 2505!: + 9y2 54y = 481 sic-coordinate of second point = y-coordinate of second point = Question Help: 8 Message instructor 0 Question 9 [3 0/1 pt 0 100 :3 99 6) Details Find an equation of the tangent line to the graph of .133 + 3:13:92 + y = 15 at the point (1, 2). v Question Help: El Message instructor