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Course: MAT421 Calculus I

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QUESTION 2 X a) Find f'(x) for f (x) = 5x - 2 using the definition of derivative. (5 marks) b) Given the function In(2x + 1) + y sinx =4y +10 i) Find dy using implicit differentiation. dx ii) Find the slope of the tangent line to the function at point | 0, 5 2 (8 marks) c) Ify = ex , show that 2x2 dy X day =- 2xy. dx dx2

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