for f(x) = x^-2 - 3x + 11, is f increasing at c = 1, or decr

[happyman]

For the following equations is f(x) increasing or decreasing at x=c and how fast?

1) f(x) = x^-2 -3x+11, when c = 1

2) f(x) = (-3)sqrt(x) +x+1, when c = 2

 

[dts5044]

Re: some equations

the derivative of a function is its instantaneous rate of change or instantaneous slope. If the derivative is positive, your instantaneous slope is positive and the function is increasing. The opposite is also true.

just take the derivatives and plug in c...if your answer is positive the curve is increasing, if it is negative the curve is decreasing