Question: Consider the function f(x)=x3-4x+-1.a. Find the first derivative: f'(x)b. List any critical values: x=c. Identify intervals of increase:d. Identify intervals of decrease:e. Find the second

Consider the function f(x)=x3-4x+-1.a. Find the first derivative: f'(x)b. List any critical values: x=c. Identify intervals of increase:d. Identify intervals of decrease:e. Find the second derivative: f''(x)=f. Local maximum ymax=occurs atx=g. Local minimum ymin= occurs atx=h.fis concave uponi.fis concave down onj. Find any inflection points:k. Using the information above, sketch the given function and then identify the correct graph amongthe choices displayed below.

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