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 (3x+6)/4 - (2x-6)/5 = (x+7)/8.


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How can do you factorize the equation x^2+6x+8


A curve with equation y=f(x) passes through the point (1, 4/3). Given that f'(x) = x^3 + 2*x^0.5 + 8, find f(x).