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You can find the area under this graph by evaluating the definite integral of y = f(x) with respect to x between x = a and x = b Please note: An area below the x-axis has a negative value Example: Find the a...

The normal line to a curve at a particular point is the line through that point and perpendicular to the tangent. A simple trick to remembering how to find the normal gradient, n , is that the slope of any l...

The quadratic formula is x = [- b ± √( b 2 - 4 ac )]/2 a (1) , where a,b and c are the coefficents of a quadratic in the form a x^2+ b x+ c =0 (2) . To prove that this works we need to start from equation (2...

The Product Rule is used when differentiating two functions that are being multiplied together. It can be used by multiplying each function by the derivative of the other and adding. If y=u v then dy/dx= u d...

Firstly we should notice the similarities between this expression and expressions of the standard type a x. To deal with this type of expression, we take logarithms of both sides and then apply the usual rul...