3. Given f(x) is a polynomial with the first derivative function given below: f'(x) = -5(x-1)3(x-2)(x-4)...

Transcribed Image Text:

3. Given f(x) is a polynomial with the first derivative function given below: f'(x) = -5(x-1)3(x-2)(x-4) (a) Find all critical points of f(x). Classify them as relative maxima, relative minima, or neither, using the first derivative test. Include a sign chart in your work. (b) Write the interval(s) over which the function f(x) is increasing. 4. Given f(x) = (x - 4x-5) 1/3, find all critical points for this function. 3. Given f(x) is a polynomial with the first derivative function given below: f'(x) = -5(x-1)3(x-2)(x-4) (a) Find all critical points of f(x). Classify them as relative maxima, relative minima, or neither, using the first derivative test. Include a sign chart in your work. (b) Write the interval(s) over which the function f(x) is increasing. 4. Given f(x) = (x - 4x-5) 1/3, find all critical points for this function.