Derivatives of sin, cos and tan functions

Click here for an interactive animation to understand the derivatives of sine and cosine functions

It is very important to remember two things about these.

First, remember the negative sign in the derivative of the cosine.

Second, remember that the formulas only work if the angle x is measured in radians!

CLICK ON THE GRAPH BELOW FOR PRACTICE ON TRIG DERIVATIVES

Derivatives of Exponential and Logarithmic Functions

Here is a good SITE for reference on exponential and logarithmic functions.

The derivative of an exponential is another exponential, but the derivative of a logarithm is a special “missing” power function.

Applications Of Differential Calculus

Visit the final site for practice IB questions and solutions in preparation for the quiz you will be taking on Monday. Next week we will be working on differentiating exponential and logarithmic functions. You are required to complete and hand in the worksheet on logs next class. Click on Help on log laws if you need a review on basic log laws.



Rational Functions

A rational function is a function that can be written as the ratio of two polynomials where the denominator isn’t zero.

f(x) = p(x) / q(x)

A 3 step approach to graphing rational functions

Click here for detailed information on rational functions

Motion In Action

1. Watch this video clip to see motion in action

2. Learn how to draw a corresponding velocity-time graph from its Position-time graph

3. Check your understanding about motion graphs by taking this quiz

Equation of a tangent to a curve

Follow these 4 steps to find the equation of a tangent

Motion in one Dimension

Distance Velocity Acceleration Graphs

Kinematics Class Notes can be viewed here

Optimisation

Optimisation Solving for the maximum or minimum value of a variable  using calculus
Watch this video Demonstrating the application of the maximum or minimum of a function

Critical points

Sign diagram This powerpoint presentation will help you to understand the relationships between derivatives and graphs.

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