Asked by R
f(x)=−x3 −x2 +16x+16
1. Calculate f′(x).
2. Calculate f′′(x).
3. Find the x values such that f(x) = 0. Note: this can be done by factoring.
4. Find the stationary point/s. Note: a point requires x and y coordinates.
5. Determine the nature of this/these point/s.
6. Find the point/s of inflection.
7. Determine the limits:
limx→∞ f(x) and limx→-∞ f(x).
8. Graph y = f(x) by hand, labelling all important features found in the previous parts. Also, the x and y axes need to be chosen so that all features (including limits) can be seen.
9. Determine the point (x, y) where the function is increasing most rapidly.
1. Calculate f′(x).
2. Calculate f′′(x).
3. Find the x values such that f(x) = 0. Note: this can be done by factoring.
4. Find the stationary point/s. Note: a point requires x and y coordinates.
5. Determine the nature of this/these point/s.
6. Find the point/s of inflection.
7. Determine the limits:
limx→∞ f(x) and limx→-∞ f(x).
8. Graph y = f(x) by hand, labelling all important features found in the previous parts. Also, the x and y axes need to be chosen so that all features (including limits) can be seen.
9. Determine the point (x, y) where the function is increasing most rapidly.
Answers
Answered by
bobpursley
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