Unit 15


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Basic differentiation:

Finding the equation of a tangent line:

Differentiation from first principles:

Quotient Rule:

Product rule

Chain rule:

Differentiating trig:

Matching graphs with their derivative functions:

The first derivative test to find max, min:

The second derivative test to find max, min:

How to find inflection points and concavity:

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: