Integrating with Partial Fractions What are partial fractions? Partial fractions arise when a quotient is rewritten as the sum of fractions The process is the opposite of adding or subtracting frac...
Integration by Substitution What is integration by substitution? Integration by substitution is used when an integrand where reverse chain rule is either not obvious or is not spotted in the latter...
As with other problems in integration the results in this revision note may have further uses such as evaluating a definite integral finding the constant of integration finding areas under a curve,...
This Revision Note focuses on the results and derivations of results involving the less common trigonometric, exponential and logarithmic functions. As with any function, questions may go on to as...
Implicit Differentiation What is implicit differentiation? Applications of Implicit Differentiation What type of problems could involve implicit differentiation? Broadly speaking there are three ty...
Related Rates of Change What is meant by rates of change? How do I solve problems involving related rates of change? Use of chain rule and product rule are common in such problems Be clear about wh...
First Principles Differentiation What is differentiation from first principles? Differentiation from first principles uses the definition of the derivative of a function f(x) The definition is How...
Limits What are limits in mathematics? When we consider a limit in mathematics we look at the tendency of a mathematical process as it approaches, but never quite reaches, an ‘end point’ of some so...
Differentiation for Kinematics How is differentiation used in kinematics? Displacement, velocity and acceleration are related by calculus In terms of differentiation and derivatives velocity is the...
