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Note that by the chain rule if the function y is such that y(x)=f(g(x)), where f and g are functions, then the derivative of y wrt x is given by dy/dx = (df/dg)*(dg/dx). Hence if we let the function y be e^(...

Differentation is a type of calculus that allows us to work out the rate of change. For example, if we have a straight line graph such as y=2x, we know that the gradient of the line is 2. If we take a curve ...

x 2 +x-6=y Is the equation we will use to demonstrate how to factorise quadratics. The first step involves using the basic shape of all quadratic factorisation: ax 2 +bx+c=y x 2 +x-6=y (Cx+A)(Dx+B)=y We must...

e (x ^2+2) =f(x)=y Is the equation we will use to demonstrate correct use of the chain rule. The equation at the core of the chain rule is: dy/dx=dt/dx*dy/dt Seeing that dt as a numerator and dt as a denomin...

First differentiate the function: y = f(x) => dy/dx = f'(x) Then set dy/dx = 0 and find the solutions. i.e. solve 0 = f'(x) For each value of x that is a solution, substitute back into f(x) to get the y c...