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Take the example: 'The price of a TV is reduced to 69% and is now £379.50. Find the original price. (This means find the price when it was at 100%.) Let's start by calling each percentage a 'part'. The ne...

Take the example f(x)=(2x^2+1)/(3x+5) , where we're finding the gradient at x=0. First, you need to differentiate f(x) to get f'(x). Because f(x) is a fraction where both the numerator and denominator are...

Firstly you have to find the turning points of the graph. This is done by differentiating the equation of the line. Once you have found this first derivative, equate the equation to zero. Now solve the eq...

It is a point on a graph described by its numerical values. For example (2,3) would be 2 along the x-axis and 3 along the y-axis.

i) By integration by parts, we see that it equals (x)(e^x)-(e^x)+C, where C denotes the constant of integration. ii) (x)(y)(e^x)+C, where C denotes the constant of integration.