Question

HW 21 Written Part (due Wed 3/22) Please complete the following problems. #1 Suppose that $f$ is a function that is continuous except at $x = 2$, where it has a vertical asymptote. Suppose also that the first derivative of $f$ is given by $$f'(x) = \frac{e^x(x+4)(x-1)^2}{x-2}$$ To reiterate, the above formula is the derivative of $f$, not $f$ itself! You don't need to take any derivatives for this problem because it is already done! (a) Determine all the critical numbers of $f$. (b) Determine the intervals where $f$ is increasing and decreasing. (c) Decide whether $f$ has a local max, local min, or neither at each critical number. (d) Sketch a possible graph of $y = f(x)$. (Note that you do not need, and it is not recommended, to try to find a formula for $f(x)$!)

          HW 21 Written Part (due Wed 3/22)
Please complete the following problems.
#1 Suppose that $f$ is a function that is continuous except at $x = 2$, where it has a vertical
asymptote. Suppose also that the first derivative of $f$ is given by
$$f'(x) = \frac{e^x(x+4)(x-1)^2}{x-2}$$
To reiterate, the above formula is the derivative of $f$, not $f$ itself! You don't need to take any
derivatives for this problem because it is already done!
(a) Determine all the critical numbers of $f$.
(b) Determine the intervals where $f$ is increasing and decreasing.
(c) Decide whether $f$ has a local max, local min, or neither at each critical number.
(d) Sketch a possible graph of $y = f(x)$. (Note that you do not need, and it is not
recommended, to try to find a formula for $f(x)$!)

HW 21 Written Part (due Wed 3/22)
Please complete the following problems.
#1 Suppose that f is a function that is continuous except at x = 2, where it has a vertical
asymptote. Suppose also that the first derivative of f is given by

f'(x) = (e^x(x+4)(x-1)^2)/(x-2)

To reiterate, the above formula is the derivative of f, not f itself! You don't need to take any
derivatives for this problem because it is already done!
(a) Determine all the critical numbers of f.
(b) Determine the intervals where f is increasing and decreasing.
(c) Decide whether f has a local max, local min, or neither at each critical number.
(d) Sketch a possible graph of y = f(x). (Note that you do not need, and it is not
recommended, to try to find a formula for f(x)!)

Added by Wendy D.

Question

Please give Ace some feedback