1.

Which of the following is not correct regarding signs of derivatives?

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)
Answer» C. If \(\frac{d^2 x}{dy^2}>0, \) then curve is convex and concave upward (holds water)


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