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? Use implicit differentiation to find dy/dx at the point (1, 1) if root xy = 1 + x 2y. Recall the definition of the arccos function:y = cos^-1(x) means cos(y) = x and 0 _

Explanation / Answer

1a given -3,0,+3 are roots,slope is 0 at -1 and +1 and value at x=-1 is +2 that gives graph is for y(x)=[x^3-9x]/4 2 f'(x)=[3x-9]/4

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