Question

maximum value of 12sinx-12 sin^2x

Answer 1

Step-by-step explanation:

for maximum value of

12 sinx-12sin²x....(1)

let above function be z

dz/dx = 12cosx - 24cosx

for maximum value :-

dz/dx = 0

dz/dx = 012cosx - 24cosx = 0

dz/dx = 012cosx - 24cosx = 0cos x = 0

dz/dx = 012cosx - 24cosx = 0cos x = 0 x = 90°

dz/dx = 012cosx - 24cosx = 0cos x = 0 x = 90°put the value of x in eq. (1)

dz/dx = 012cosx - 24cosx = 0cos x = 0 x = 90°put the value of x in eq. (1)12sin90°-12sin²90° = 12-12=0

thus maximum value is 0