Calculus:
Basic differentiation an introduction:
More practice of basic differentiation:
Fractional and negative powers:
Finding the equation of a tangent line and normals:
Increasing and decreasing functions:
Differentiation from first principles:
Differentiating e^x
Product rule 1:
Product rule 2:
Quotient Rule 1:
Quotient Rule 2:
Chain rule for brackets:
Chain rule for e^x:
Product rule and chain rule:
Quotient rule and chain rule:
Chain rule for lnx:
Differentiating trig:
The first derivative test to find max, min:
The second derivative test to find max, min:
Optimisation problems:
More difficult optimisation problems:
An introduction to kinematics (speed, distance, acceleration):
More on Kinematics (including integration)
Introduction to basic integration:
Integrating fractional powers:
The fundamental theorem of calculus – how to find definite integrals:
Finding the areas under graphs:
Integrating e^x:
Integrating sinx and cosx (ignore sec x, cosec x and tanx integrals):
Integrating functions of the form (ax + b)^n by inspection:
Velocity time graphs:
Using integration for kinematics problems:
Finding the area between 2 curves:
An Excellent Calculus Playlist: