F.5 Differentiation

Question1. By differentiation, show that
1 + 2x + 3x^2 + ... + nx^(n-1) = [nx^(n+1) - (n+1)x^n + 1] / (x - 1)^2

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Question2. It is given that x = t^2 + t and y = (3t^2 + 2t - 4)^(-1/2)
a) Find dy/dx in terms if t.
b) Find dy/dx when x = 2.