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We can differentiate this implicitly by writing the question as:y = 2 x Then we take the log of both sides:ln(y) = ln(2 x )Using the rules of logartithms this can be written as:ln(y) = x ln(2)Now we can diff...

to differentiate this equation we have to do it in two parts because there is a minus sign seperating them in the middle for the first part we first have to multiple the constant by what the power of x is wh...

If you imagine that sin(x), cos(x), -sin(x) and -cos(x) are on a wheel as shown below: sin(x) -cos(x) cos(x) -sin(x) then going clockwise around the wheel you have what each term differentiates to, so sin(x)...

Firstly, we are given that f(x) can be expressed in the above form, so we write this out: (19x-2)/((5-x)(1+6x)=A/(5-x)+B/(1+6x) We then multiply by the denominator of f(x): 19x-2=A(1+6x)+B(5-x) Now we can ch...

First Step: I believe here it is important to firstly look at each equation on its own and just try to think how the examiner would want you to answer this type of question. Second Step: Recognise that both ...