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.

answer: the answer is 35%

< 4, -5>

step-by-step explanation:

starting from g. we move 4 right and then 5 down to get to h. that means the vector is < 4, -5>