CALCULUS!!!

case 1. Find the absolute maxima and minina values of
f(x)=sin2x+cos2x on [0, pie] Specify both the x and y coordinateof the absolute maximum and absolute minimum. Gives answers in exact form.

case 2. Use the second derivative test for relative maxima nd minima to find the points where the function
f(x)=x^4/4-2x^2+1 has a relative maxima and relative minima. give both the x and y coordinates of the relative extrema.

case 3. Determine for which values of x in [o, pie] the tangent line to the graph of f(x)= sinx/2+cosx is horizantal. Gice answers in exact form.


All of these are straightforward. What is your question? We will be happy to critique your work or thinking. We wont do work for you. On the test questions above, number three remember the slope will be zero if horizontal. So, solve for f'=0, and remember sinx/cosx is tangent x.

I don't know how to do these, teacher is bad. Please explain to me how to do them.

Hmmm.

1. Take the derivative, set to zero. Solve for x at these points (you can compute y). Use the second derivative to see if it is a max or min.
case 2. Basically, same as case 1.

If you cannot take the derivative, or solve the f'=0 equations, that is another matter, and you need to learn how to do that pronto.

Have you looked at Schaum's Outline Series, College Calculus ? It is available at any college bookstore, or Barnes Noble. Take a look at this well done problem book. It is cheap to look, and cheap to buy.

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  1. gfind the global maximum and minimum and for the f(x)=e^X+cos on closed interval {0,pi}

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  2. gfind the global maximum and minimum and for the f(x)=e^X+cosx on the closed interval {0,pi}

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