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  I have choose a quadratic equation as a common question . This is for both GCSE & A-level student. (2x)^2-x-1=0
To solve this equation we have four methods:- Factoring Completing square Quadrat...

The best way to tackle this sort of worded problem is to create a solvable equation. Lets call the bill before the voucher was used, X. So, the price after the voucher was applied is: = X...

To answer this we will use implicit differentiation with respect to x. So start by differentiating each term. On the left hand side 0 differentiates to 0. On the right hand side 5x² differentia...

Since f(x) is a product of the two functions e^x and sin(x^2), we can use the product rule which states that if f(x)=g(x)h(x), then f'(x)=g'(x)h(x)+g(x)h'(x). Let g(x)=e^x and h(x)=sin(x^2). Since the dif...

ln is the natural log. The thing to remember with differentiating natural log is the simple formula U'/U. The U is whatever is in the brackets. This means we differentiate X^2 and divide it by X^2. X^2 ...