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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.
The question tells us the ratio between two algebraic expressions is the same as the ratio between 2 other algebraic expressions. So, we can re-write the equation as (2x-1)/(x-4) = (16x+1)/(2x-1)Re-arrang...
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