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(i) To find the derivative we will use the product rule. Let u = y+5 and v=ln(2y-7). Then dx/dy = du/dyv + udv/dy = ln(2y-7) + (y+5)*2/2y-7 (used the chain rule in 2nd term - can explain this on ...

As both terms on the left hand side have base 5 we know we can combine them. When dealing with logs, a minus means we can divide them, and a plus means we can multiply them. This will leave us with log5(4...

Need to remember that:sin²(x)+cos²(x)=1 (eq.1)Divide the whole eq.1 by sin²(x)to get:sin²(x)/sin²x+cos²(x)/sin²(x)=1 /sin^2...

Firstly. Recognise which method you should use to approach this question. In this case, you can find the stationary point of a curve where its gradient is 0 i.e. at a point where the grad...

(a)This question actually tells us what to do. It is very hard to miss "use logarithms to solve...". So our first step is going to be to use logs (espec...