How can you find the intervals on which f is increasing and decreasing when f(x)=(x^4)-(4x^3)+(4x^2)
Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
Solve for x I guess. You know how to do that, right? Then, you make a chart with the data...
all i did so far was find the derivative and replaced f(x) with 0
Not the answer you are looking for? Search for more explanations.
Ok. Those will be your interval points. They go: (infinity,o)(0,5) and (5,-1)
To find the y-int, sub in x=0
what do you mean?
|dw:1327657008314:dw| I mean that you make x=0 to for the y-intercept.
After you find the derivative equate it to 0 and solve for x, then substitute the 3 values you get into the given function. Now if it is negative,it has a max at that point and is therefore going to decrease in that interval whilst if it is positive it is a min and therefore it is going to increase in that interval.
I'd graph the curve find the zeros, x=0, 2 are the zeros.... found by factorising
next find the 1st derivative..... and find the stationary points...
next find the 2nd derivative and any possible points of inflexion....
test the 1st derivative points in the 2nd derivative to test concavity... draw the graphs... and read the intervals off...