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How would I differentiate something in the form of (ax+b)^n

To tackle this type of question you would need to differentiate by substitution by implying the chain rule.If we substitute ax+b for a single character,lets say q , the expression becomes q^n which is eas...

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Can you teach me how to rationalise the denominator of an algebraic expression?

You may be asked to rationalise the denominator of an algebraic expression if it contains a surd in the denominator - such as a1/2. They can get slightly more complex than this though! What it ...

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Given that y = 4x^3 -1 + 2x^1/2 (where x>0) find dy/dx.

This is an example of a common AS differentiation Q. To find dy/dx simply apply the power rule to each term in the equation. The power rule is if you have a term x^n then dy/dx will be n times x^(n-1). e....

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The weight in grams, of beans in a tin is normally distributed with mean U and S.D. 7.8, given that 10% conntain more than 225g a) Find U b) % of tins that contain more than 225 grams(A2 stats)

for part a) you would need to use the formula (x-U)/S.D.=a where X=200 and S.D.=7.8. The student would need to calculate a with the information given. I here would use standard normal distribution here to...

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At time t = 0, a particle is projected vertically upwards with speed u m s–1 from a point 10 m above the ground. At time T seconds, the particle hits the ground with speed 17.5 m s–1. Find the value of u and T and evaluate the model. (AS mechanics)

This is a classic suvat question that will most definately appear in the studnets exam without fail. To begin I would list all the values I have and notice that the ball being modelled as a particle denot...

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