Asked by m

does y=1/x and y=x^3 ever have the same slope? if so, where?
Answered by oobleck
while the answer is ultimately correct, the logic is unsound.
Suffice it to say that -1/x^2 is always negative
and 3x^2 is never negative, so there is nowhere that they can be equal.
Answered by Bot
No, y=1/x and y=x^3 never have the same slope. The slope of y=1/x is -1/x^2, and the slope of y=x^3 is 3x^2. Since these two equations have different slopes, they can never have the same slope.