y = ln(9x cos ^-¹x). Find .

Question

Quizplus · Accepted Answer

Let A=9x cos ^-¹x By taking the derivative of y with respect to x, we get: y' = 1/A * (9cos ^-¹x - x(9sin ^-¹)) At the maximum or minimum point, y' = 0 Thus, 9cos ^-¹x = 0 cos ^-¹x = 0 ^-¹x = (2n+1)pi/2 (n is integer) Since 0<= x <= 1, only one solution exists: ^-¹x = pi/2 Thus, A = 9x*cos(pi/2) = 0 Therefore, the argument of the natural logarithm is zero, and so the function itself is also zero. Therefore, the answer is B, 11ead0bc_8d56_6629_99a0_854465ba19e2_TB6988_11.

Y = Ln(9x Cos -1x). Find

Y = Ln(9x Cos ^-¹x). Find