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Now showing items 71-80 of 133

#### 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: Separable Differential Equations: Example 2

(Swinburne Commons, 2012)

This screencast demonstrates how to solve a first-order separable differential equation in the case where the right hand side of the equation is a mixture of x and y terms that needs to be factorised so that the equation ...

#### 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 ...

#### MathsCasts: Differentiation by First Principles: Introduction

(Swinburne Commons, 2016)

This screen cast provides background to the method of differentiation by first principles.

#### MathsCasts: Integrals Involving Odd Powers of Sinx or Cos x: Example 1

(Swinburne Commons, 2016)

An example of integrating a function that is a product of odd powers of sin x and cos x