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R
find derivatives "the long way" (using limits)
My quiz on Monday requires us to do the long way of finding derivatives, using: . . . . .f'(x) = lim<sub>h->0</sub> [f(x + h) - f(x)] / h I used the limit for the equation y = x<sup>3</sup> - 9. I know the derivative is supposed to be y' = 3x<sup>2</sup>, according to the Power Rule. But when... -
R
horizontal tangents to y = x^4 - 8x^2 + 2, if any
Determine the points (if any) at which the function has a horizontal tangent line: . . .y = x^4 - 8x^2 + 2 I know that functions like "1/x^2" don't have any horizontal tangent lines, because the graph is never horizontal. Those are easy. For this one, I just tried plugging values in for x. I...