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:
20
Step-by-step explanation:
You use the distributive property.
Distribute the 2 to whatever is inside the parentheses. (You will multiply)
4×2=8
2×6=12
Substitute the answers above into the parentheses.
(8+12)=20
Answer:
A=50 B=40 C=90
Step-by-step explanation:
B is a right angle so its automatically 90 degrees since A=50 and a triangle has to be 180 degrees 90+50= 140, 180-140=40.
The alue of 5 is the tenths place.