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(Solved): Consider the following function. f(x)=x33x26x+5 Find the first and second derivatives. f(x ...
Consider the following function. f(x)=x3−3x2−6x+5 Find the first and second derivatives. f′(x)=f′′(x)= Find any values of c such that f′′(c)=0. (Enter your answer as a comma-separated list. If any answer does not exist, enter DNE) c= Find the interval(s) on which f is concave up. (Enter your answer using interval notation.) Find the interval(s) on which f is concave down. (Enter your answer using interval notation.) Find the inflection point of f. (x,y)=((1,−3)x)