MORE ABOUT CONTINUOUS FUNCTIONS
You will learn to solve more problems on continuous functions and find the parameters when the functions are continuous.
Problems are solved for you to learn and practice.
DERIVATIVE AT A POINT USING THE DEFINITION
Learn more about continuity in this lesson. You will be introduced to left hand and right hand limits, and derivative of a function at a point. Here, you will see the use of limits in calculating the derivative.
HOW TO FIND THE LEFT AND RIGHT HAND DERIVATIVE OF A FUNCTION
More about calculating the derivative using the definition. You will use limits and the concept of left and right hand limits.
Here, you will learn how to evaluate the left hand and right hand derivative at a point. You will also learn a few basic formulas used in Differentiation. This is followed by solved problems for you to practice and learn.
DIFFERENTIATION USING THE PRODUCT RULE
We use the product rule for differentiation. We also learn the importance of simplifying the function before differentiating it.
2 solved problems are shown in the link below.
DERIVATIVE OF COMPOSITE FUNTIONS
Learn how to use the chain rule in deriving composite functions. What is a composite function? A function in a function! Use the normal formula and multiply by the derivative of the function.
WHAT ARE IMPLICIT FUNCTIONS AND HOW DO YOU DERIVE THEM
What is the difference between an explicit and implicit function and how do you differentiate them?
INVERSE TRIG DIFFERENTIATION
Next, we progress to finding the derivative of inverse trig functions. Remember to simplify the function before differentiating it.
DIFFERENTIATION USING LOG
While calculating the derivative of a function having another function as an exponent, we take log on both sides and then differentiate. An incredibly simple method to differentiate seemingly complex functions.
Parametric differentiation is differentiating one function with respect to another function. In which case , differentiate both functions with respect to the given variable. 2 problems are illustrated.
SECOND ORDER DERIVATIVES
Learn how to calculate second order derivatives and prove identities using them.