the curve is concave up in this quadrant bc the second derivative is positive/ >0
decreasing and concave up because y’<0 and y”>0
The chain rule is the basis for implicit differentiation, and the product and quotient rules
the curve is concave up in this quadrant bc the second derivative is positive
It is increasing and concave up bc y’>0 and y”>0
The values 2npi for all integers n
y=(-2/5)^1/3
two
The values pi/2+2npi for all integers n
y=-1/ln2
two
x=3 x=9
(-2, 3) only
x=5 x=8
(-1,4)
f has a relitave minimum at x=1