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6 Find the gradient of the tangent to y = xInx at the point where x = e. 7 Suppose f(x) = aln(bx2) where f(e)

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6 Find the gradient of the tangent to y = xInx at the point where x = e. 7 Suppose f(x) = aln(bx2) where f(e) = 3 and f'(1) = 6. Find the constants a and b. 8 Suppose f(x) = ax In(br) where f(1) = 12 and f'(1) = 16. Find the constants a and b. 9 Find the point(s) at which the tangent to y = In(15 - x2) has gradient 1. In(2x + a), x20 10 The function f(x) = bx, is differentiable at x = 0. I

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