Maximum and minimum values

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Reference no: EM131223592

The following function is given

f(x)=x^2-0.5x-3|x|,-1≤x≤1

a) What is its derivative f′(x)for x>0?

b) What is the derivative f′(x)for x<0?

c) Give the x-value where the derivative is not defined?

d) List the x coordinate of all the critical points of f(x)in the format (x1,x2,...,xn), for example (1,2,3)?

e) Which other x-values can give the maximum and minimum values of f(x)? List them in increasing order in the format in the format (x1,x2,...,xn), for example (1,2,3)?

f) Give the x-coordinate of a point where f(x)takes its maximum value?

g) Give the x-coordinate of a point where f(x)takes its minimum value?

Reference no: EM131223592

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