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Calculate the derivative using the standard rules, in particular (x n )' = nx n-1 . f(x)' = 3x 2 + 4x - 5 Stationary points are where the derivative is equal to 0, i.e. all x such that f(x)' = 0, so solving ...

Split the first equation into three parts, i.e. (x+1), (x-2) and (x+3). Multiply the first two parts to get x 2 - x - 2 , then multiply the result with the third part to get x 3 + 2x 2 - 5x - 6 . All that is...

Consider a sin graph and all the points on the graph which are equal to 0.5. You'll find that, between one period of a positive sin graph, invsin(0.5) may equal 30 degrees or 150 degrees. The equation can no...

Differentiation is a way of measuring a rate of change. Formally, we can look at two points on a curve and as an example, I would use the x^2 curve. We can plot on a point (x,x^2) and a point (x+h, (x+h)^2)....

Let A=7x and B=3x( From the formulae we know that sinxcosx= 1/2(sin(A+B)+sin(A-B))So if we replace A=7x and B=3x in this equation: 1/2(sin(7x+3x)+sin(7x-3x))= = 1/2 (sin(10x)+sin(4x))Now we just integrate 1/...