## Search

Now showing items 1-10 of 25

#### MathsCasts: Integrals with Odd Power of Tanx and Any Power of Secx

(Swinburne Commons, 2016)

An example of integrating a function that is a product of an odd power of tan x and a power of secx.

#### MathsCasts: Integrating cos^2 x and sin^2 x

(Swinburne Commons, 2016)

An example of how double-angle formulae can be used to help with integrating sin^2 x and cos^2 x

#### MathsCasts: Integration by Substitution Example

(Swinburne Commons, 2016)

An example of using integration by substitution to integrate the function (sqrt(1+sqrtx))

#### MathsCasts: Differentiation by First Principles Example: The Square Root of X

(Swinburne Commons, 2016)

Example of using differentiation by first principles to evaluate the derivative of the function y = square root of x

#### MathsCasts: Calculating a Second-Order Derivative Where Implicit Differentiation is Required

(Swinburne Commons, 2016)

This screen cast gives an example of calculating the first and second derivatives of a function where implicit differentiation is required.

#### MathsCasts: Composite Hyperbolic Functions Involving an Inverse Function: Example 2

(Swinburne Commons, 2016)

In this recording we look at a second example of how to write a composite hyperbolic function as an algebraic function of x.

#### MathsCasts: Area Between Two Curves

(Swinburne Commons, 2016)

An example of using integration to find the area of a region that is bounded by 2 curves.

#### MathsCasts: Differentiation by First Principles Example: Quadratic Function

(Swinburne Commons, 2016)

Example of using differentiation by first principles to evaluate the derivative of a quadratic function.

#### MathsCasts: Differentiation by First Principles Example: 1 Divided by x

(Swinburne Commons, 2016)

Example of using differention by first principles to evaluate the derivative of the function y = 1 divided by x

#### MathsCasts: Finding the Number of Intersection Points of Two Quadratics using the Discriminant

(Swinburne Commons, 2016)

For a quadratic equation of the form ax^2+bx+c=0, the discriminant function b^2-4ac is introduced, as a way of determining how many roots this equation has. This is then applied to problems of determining how many points ...