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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...
Displacement, Velocity & Acceleration What is kinematics? Kinematics is the branch of mathematics that models and analyses the motion of objects Common words such as distance, speed and acceler...
Modelling with Differentiation What can be modelled with differentiation? Recall that differentiation is about the rate of change of a function and provides a way of finding minimum and maximum val...
Negative Integrals The area under a curve may appear fully or partially under the x-axis This is given in the formula booklet How do I find the area under a curve when the curve is fully under the ...
Definite Integrals What is a definite integral? The constant of integration (“+c”) is not needed in definite integration “+c” would appear alongside both F(a) and F(b) subtracting means the “+c”’s ...
