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#### The equation of a curve is y = (2x cos x Find "y and hence find the coordinates of any stationary points for which I SX ST

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The equation of a curve is y = (2x cos x Find "y and hence find the coordinates of any stationary points for which I SX ST. Give your answers correct to 3 significant figures. [6] 6. The equation of a curve has the form y = ex? (ax2 + b), where a and b are non-zero constants. can be expressed in the form ex? (cx* + d), where c and d are non-zero constants. Prove that 5a + 2b = 0. It is given that d?y dx [5] 1.07 Differentiation A Level Stage 2 Prep 7 2x+4 The diagram shows the curve y = x2+5 (a) Find out and hence find the coordinates of the two stationary points. [6] (b) The function g is defined for all real values of x by 12x + g(x) = [x² + (i) Sketch the curve y = g(x) and state the range of g. [3] (ii) It is given that the equation g(x)] = k, where k is a constant, has exactly two distinct real roots. Write down the set of possible values of k. [2] 8. 5x+4 Find the equation of the tangent to the curve y = at the point (2,-7). 3x-8 [6]

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