Hand draw a tangent line to the graph at each x-component given below. Use these

Question

Hand draw a tangent line to the graph at each x-component given below. Use these tangent lines to estimate the value of each derivative. Write your estimate beside each question. f'(-3) f'("2) f'(-1) f '(0) f'(1) f'(2) f'(3) Using your estimates from part (a), draw the graph of f (x) on the same set of axes given above. Please use a different color of ink from your tangent lines. Shown is the graph of the population function P(t) for yeast cells in a laboratory culture. Use the method above to draw the graph of P (t) on the same set of axes given. What does P (t) represent? Describe how the rate of population increase varies over time. When is this rate highest?

Explanation / Answer

3 roots of given curve=o,3,-3 so, f(x)=x.(x-3).(x+3)=x^3-9x f'(x)=3x^2-9 substitute those values given in question to find all f'

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