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1EDEXCEL C1 June 2014 Q10
Question image is broken on examsolutions.net (dead upload, reported). The video solution on the page walks through the question.
Question image is broken on examsolutions.net (dead upload, reported). The video solution below walks through the question.
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2CIE P1 November 2013 Q2
A curve has equation y = f(x). It is given that f'(x) = 1/sqrt(x + 6) + 6/x^2 and that f(3) = 1. Find f(x). [5]
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3EDEXCEL C1 June 2013 Q9
f'(x) = (3 - x^2)^2 / x^2, x != 0. (a) Show that f'(x) = 9x^-2 + A + Bx^2, where A and B are constants to be found. (3) (b) Find f''(x). (2) Given that the point (-3, 10) lies on the curve with equation y = f(x), (c) find f(x). (5)
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4EDEXCEL C1 January 2013 Q8
dy/dx = -x^3 + (4x - 5)/(2x^3), x != 0. Given that y = 7 at x = 1, find y in terms of x, giving each term in its simplest form. (6)
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5OCR C2 January 2013 Q3
A curve has an equation which satisfies dy/dx = kx(2x - 1) for all values of x. The point P (2, 7) lies on the curve and the gradient of the curve at P is 9. (i) Find the value of the constant k. [2] (ii) Find the equation of the curve. [5]
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6OCR C2 June 2012 Q2
(i) Find the integral of (x^2 - 2x + 5) dx. [3] (ii) Hence find the equation of the curve for which dy/dx = x^2 - 2x + 5 and which passes through the point (3, 11). [3]
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7EDEXCEL C1 June 2011 Q6
Given that (6x + 3x^(5/2))/sqrt(x) can be written in the form 6x^p + 3x^q, (a) write down the value of p and the value of q. (2) Given that dy/dx = (6x + 3x^(5/2))/sqrt(x), and that y = 90 when x = 4, (b) find y in terms of x, simplifying the coefficient of each term. (5)
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8EDEXCEL C1 January 2011 Q7
The curve with equation y = f(x) passes through the point (-1, 0). Given that f'(x) = 12x^2 - 8x + 1, find f(x). (5)
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9EDEXCEL C1 June 2010 Q11
Question image is broken on examsolutions.net (dead upload, reported). The video solution on the page walks through the question.
Question image is broken on examsolutions.net (dead upload, reported). The video solution below walks through the question.
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Part (a):
Part (b):
10EDEXCEL C1 January 2010 Q4
dy/dx = 5x^(-1/2) + x sqrt(x), x > 0. Given that y = 35 at x = 4, find y in terms of x, giving each term in its simplest form. (7)
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11EDEXCEL C1 January 2009 Q4
A curve has equation y = f(x) and passes through the point (4, 22). Given that f'(x) = 3x^2 - 3x^(1/2) - 7, use integration to find f(x), giving each term in its simplest form. (5)
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12EDEXCEL C1 January 2008 Q9
The curve C has equation y = f(x), x > 0, and f'(x) = 4x - 6 sqrt(x) + 8/x^2. Given that the point P(4, 1) lies on C, (a) find f(x) and simplify your answer. (6) (b) Find an equation of the normal to C at the point P(4, 1). (4)
