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First off, an explicit definition needs to be understood. An explicit definition is the standard form in which many equations are found: y = f(x) (1) for example: y=x 2 +2 Here, all values of y can be explic...

Often, it can seem daunting when you are asked to differentiate a function that looks particularly messy. However, it's really quite simple if you break it down in easy to manage steps. I find students seem ...

How to integrate ln(x)? In order to integrate log x of base e, we are going to apply integration by parts. Recall that the formula for integration by parts is: / / | f(x) g'(x) = f(x) g(x) - | f'(x) g(x) / /...

Reminder - a cartesian equation is written in terms of x and y (e.g. y = 2x + 3) while parametric equations are written with x and y separately in terms of t. Example: Find the cartesian equation of the curv...

Finding stationary points. You can find stationary points on a curve by differentiating the equation of the curve and finding the points at which the gradient function is equal to 0. One way of determining a...