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Find the derivative of the function y = (2x + 12)/(1-x)

Using quotient rule, let u = 2x+12 and v = 1-x. Then we differentiate u and v separately, so u' = 2 and v' = -1. The formula for the quotient rule is: (vu' - uv')/v^2. Plugging in our values into this equati...
MJ
Answered by Mahreen J. • Maths tutor
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1)Simplify sqrt 98 - sqrt 32, givimg your answer in the form k sqrt 2 where k is an integer.

7sqrt2-4sqrt2=3sqrt2
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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 easier...
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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 a 1/2 . They can get slightly more complex than this though! What it is asking fo...
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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.g. ...
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