Step-by-step explanation:
y = (cos x)^(sin x)
Take log both sides.
ln y = ln ((cos x)^(sin x))
ln y = (sin x) ln (cos x)
Take derivative.
1/y dy/dx = (sin x) (1/cos x) (-sin x) + (cos x) ln (cos x)
dy/dx = y [ (cos x) ln (cos x) − sin x tan x ]
dy/dx = (cos x)^(sin x) [ (cos x) ln (cos x) − sin x tan x ]
Your answer is correct.
Answer:
40%
Step-by-step explanation:
Answer: 4311/9900 = 0.4354 4936/990 = 4.985 530/900 = 0.58 674/990 = 0.680 8099/990 = 8.180 explanation: divide the numbers and select the answers.