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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 ...

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:

...

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, ...