As Chewwy says, x goes in, f(x) comes out. You can use g(x), h(x), Ø(x), Ω(x), Bob(x), Ostrich(x), anything you like. The letter, symbol or even word before the (x) is simply a way of allowing you to know which function it is you are talking about. You can define f(x) to be anything you like, the "f" label is irrelevant of what the ...

2024年6月17日 · f(x) is a function of x, but f'(x) is the derivative with respect to what seems to make sense. In terms of a-level f'(x) pretty much means dy/dx, but you should realise that d(f(x))/dx = f'(x) doesn't require a y. As for the post, it depends what you are differentiating with respect to but I assume it is p (i.e. do you want dq / dp?).

2015年7月9日 · For it to be an increasing function, f'(x) must always be greater than or equal to 0, for any value of x. If you have f'(x) = x^2 – 2 + x^(-2), you need to show this is always greater than or equal to 0, to show it is always increasing. A good way to do this is to spot that it is a perfect square i.e. f'(x) = (x − 1/x)^2. Remember ...

2024年6月3日 · If the curve has no stationary points then f has only one real root. You could find stationary the points (if any exist at all) and show using the geometry of the curve that the configuration of the stationary points mean that the curve can only intersect the x axis once.

If f(x+y)=f(x)f(y) show that f(0) = 1, 95. Suggest prime factors of 612612503503 96. How many faces are there on an icosahedron 97. integrate 1/(1+sin x) 98. What is the greatest value of n for which 20 factorial is divisible by 2n? 99. Prove that the product of …

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2018年3月2日 · Then introduce a transformation y = f (2 x) y=f(2x) y = f (2 x). We want to retain the exact same y y y value as the previous one, so we need to set 2 x = X 2x=X 2 x = X which hence means that x = X 2 x=\frac{X}{2} x = 2 X . Hence the new input into your transformed function is HALF the original one, and this applies to all x x x hence we say f ...

2024年12月3日 · Hello everyone!! Welcome to the official discussion thread for students who have received an offer from Imperial College London for 2025 entry You can chat with other offer holders and see if you can find someone who could be in your class next year Also let us know what A-Levels/other qualifications you are taking and the course that you applied for!!

2025年3月20日 · A cuboid had dimensions 7 by 8 by x where x>8. A water tank is a cylinder with base area, a. The cuboid stays at the bottom when water is added. When the cuboid has h the e 8 by x face down, a volume, v, of water is added to the tank to a depth of 7, level with the top of the cuboid. When the cuboid has the 7 by x face down, the water level ...

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