The tangent line to the graph of f(x) at x = 2 is shown. On the tangent line, P is the point of tangency and A is another point on the line. y 4 3 2 1 JA -3 -2 -1 2P 3 4 6. 7 -2 -3 y ='f(x) -4 (a)...


The tangent line to the graph of f(x) at x = 2 is shown. On the tangent line, P is the point of tangency and A is another point on the line.<br>y<br>4<br>3<br>2<br>1<br>JA<br>-3<br>-2 -1<br>2P<br>3<br>4<br>6.<br>7<br>-2<br>-3<br>y ='f(x)<br>-4<br>(a) Find the coordinates of the points P and A.<br>P(x, y) = ( 0, – 1<br>A(x, y) =<br>2, – 2<br>(b) Use the coordinates of P and A to find the slope of the tangent line. (Give an exact answer. Do not round.)<br>-1/2<br>(c) Find f'(2). (Give an exact answer. Do not round.)<br>(d) Find the instantaneous rate of change of f(x) at P. (Give an exact answer. Do not round.)<br>

Extracted text: The tangent line to the graph of f(x) at x = 2 is shown. On the tangent line, P is the point of tangency and A is another point on the line. y 4 3 2 1 JA -3 -2 -1 2P 3 4 6. 7 -2 -3 y ='f(x) -4 (a) Find the coordinates of the points P and A. P(x, y) = ( 0, – 1 A(x, y) = 2, – 2 (b) Use the coordinates of P and A to find the slope of the tangent line. (Give an exact answer. Do not round.) -1/2 (c) Find f'(2). (Give an exact answer. Do not round.) (d) Find the instantaneous rate of change of f(x) at P. (Give an exact answer. Do not round.)

Jun 05, 2022
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