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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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Solve ∫(x+2)/(2x^2+1)^3 dx

Differentiate: y = 4x^3 - 5/x^2

The arithmetic series is given by (k+1)+(2k+3)+(3k+5)+...+303. a)Find the number of term in the series in terms of k. b) Show that the sum of the series is given by (152k+46208)/(k+2). c)Given that S=2568, find k.

differentiate with respect to 'x' : ln(x^2 + 3x + 5)

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