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Integration by parts is a method of integration used when you are attempting to integrate a function which is the product of two functions. If the two products can be expanded there is usually an easier way ...

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 ...

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...