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Calculate the derivative using the standard rules, in particular (xⁿ)' = nx^n-1.f(x)' = 3x² + 4x - 5Stationary points are...

Split the first equation into three parts, i.e. (x+1), (x-2) and (x+3). Multiply the first two parts to get x²- x - 2, then multiply the resul...

Make y the subject of equation 1 by subtracting 3x from both sidesy = 12 - 3x
Substitute 12 - 3x for y in equation 25x + 5(12 - 3x) = 305x + 512 - 53x = 305x + 60 -15x = 3060 - 10x = 30 ...

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 equati...

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)^...