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Integration question 1 - C1 2016 edexcel

Answer has to be explained verbally. A full written proof can be given.

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find the integral of f'(x)=2x+5

The curve C has the equation y=3x/(9+x^2 ) (a) Find the turning points of the curve C (b) Using the fact that (d^2 y)/(dx^2 )=(6x(x^2-27))/(x^2+9)^3 or otherwise, classify the nature of each turning point of C

differentiate the following to find the equation for the gradient of the curve in terms of x and y: 3x^3 + 4x^2 + 5xy + 7y = 0

How do you differentiate this

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