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You would multiply both numerator and denominator by the expression (root3 +1)/(root3 +1). This expression is equal to 1 hence the original expression remains unchanged. The new expression is now (8(root...
The chain rule is a type of differentiation used when you are differentiating a function of a function e.g. (2x+5)^3, or e.g.2. (x^2 + 5)^0.5. Firstly you replace one function with u. You then diffe...
x = 5t + 3 -> x - 3 = 5t -> (x - 3) / 5 = t y = 2 / t -> y = 2 / ((x - 3) / 5) -> y = 10 / (x - 3) dy/dx = d/dx (10 / (x - 3)) -> dy/dx= -10...
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I'll show you on a whiteboard or a piece of paper, there's a nice grid method you can use which is a lot easier (I think) than the weird long division way I got taught in school.
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