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Could anyone please help me with this? Using dy/dx and show your calculations please? Since the calculations required are accurate - could you please show

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Could anyone please help me with this?

Using dy/dx and show your calculations please? Since the calculations required are accurate - could you please show working using dy/dx

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PART 1 The Limiting Value of a Secant. 1. Stat Po P1 1.2 The diagram above shows the graph of the function y = 2" with the points P(1,2) and Q[2,4). Find the gradient of this secant(chord) PQ. P1 1.21 The diagram above shows the graph of the function y = 2" with the points P(1, 2) and Q.(1.5, 215). Find the gradient of this secant (chord) PC as accurately as possible.3. (a) Complete the table below for the gradient of the secant PQ with different positions On . Write your answers as accurately as possible. n On Gradient of Secant (Chord )PQ (x, 2. * ) mpo (2,4) 2 (1.5, 21.5) W N (1.2, 212) (1.1, ) (1.01, ) (1.001, (1.0001, 8 (1.00001, 9 (1.000001, (b) (i) Using the table above state the gradient of the tangent at P(1,2). Give reasons for your answer . Explain the accuracy of your answer. (ii) Hence state the derivative of the function y = 2* at the point x = 1? 4. Repeat the process as in question 3. to find the gradient to the curve y = 2* at the point P(0,1). Expand your table to find a more accurate result

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