Find all the critical points of h(x) = x^3 − 3x^4 and categorize them as local

maximums, local minimums, or neither, using the first derivative test.

0 is an inflection point

1/4 is a local maximum.

Step-by-step explanation:

To begin with you find the first derivative of the function and get that

to find the critical points you equal the first derivative to 0  and get that

To find if they are maximums or local minimums you use the second derivative.

since is neither an inflection point, and since then 1/4 is a maximum.

the red lines denote the population of the bacteria after 35 hours. that would be 2,409.24. the y-intercept is the blue line which is 800 because that is the starting point. the equation used to make the graph is 800(1.032)^h, where h is the number of hours.

step-by-step explanation:

i dont understand

step-by-step explanation: