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What is differentiation and how do I do it?

explain the following briefly: To work out the gradient, first principles, shortcutsexplain in detail: different methods

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Differentiate with respect to x: y = xln[2x]

Find the equation of the tangent to the curve y^3 - 4x^2 - 3xy + 25 = 0 at the point (2,-3).

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Find the antiderivative of the function f(x)=(6^x)+1

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