Which of the following is not correct regarding signs of derivatives?
Posted: Thu Jul 14, 2022 9:29 am
a) If \(\frac{dy}{dx}>0,\) then the curve is increasing in [a, b]
b) If \(\frac{dy}{dx}<0,\) then the curve is increasing in [a, b]
c) If \(\frac{d^2 x}{dy^2}>0, \) then curve is convex and concave upward (holds water)
d) If \(\frac{d^2 x}{dy^2}>0, \) then curve is concave downward (spills water)
b) If \(\frac{dy}{dx}<0,\) then the curve is increasing in [a, b]
c) If \(\frac{d^2 x}{dy^2}>0, \) then curve is convex and concave upward (holds water)
d) If \(\frac{d^2 x}{dy^2}>0, \) then curve is concave downward (spills water)