TO DEMONSTRATE THE PROPERTIES OF LOGARITHMS, WE'RE ASKED TO WRITE THE SUM OF THESE TWO LOGS AS A SINGLE LOG AND THE DIFFERENCE OF THESE TWO LOGS AS A SINGLE LOG. SO BECAUSE WE'RE...

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- NOW, WE'LL LOOK AT SOME EXAMPLES OF FACTORING A SUM IN DIFFERENCE OF CUBES. NOTICE BOTH THE SUM AND DIFFERENCE OF CUBES FACTORS INTO A BINOMIAL AND A TRINOMIAL. SO IF WE HAVE A BINOMIAL IN...

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- WELCOME TO A THIRD EXAMPLE OF DETERMINING THE DIFFERENCE QUOTIENT OR THIS QUOTIENT HERE, GIVEN A QUADRATIC FUNCTION. SO FOR THE FIRST STEP, WE WANT TO DETERMINE (F OF THE QUANTITY X) + H WHICH MEANS...

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- WELCOME TO FACTORING A SUM OR DIFFERENCE OF CUBES. THIS IS ONE OF THE FORMS OF FACTORING WHERE YOU PRETTY MUCH HAVE TO MEMORIZE THESE FORMULAS. IT'S NOT INTUITIVE LIKE A LOT OF THE OTHER...
(male narrator) In this video, we will look at multiplying a special polynomial that's called a "sum and a difference." A sum and a difference is when the two factors match...

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- WELCOME TO A SECOND EXAMPLE OF DETERMINING THE DIFFERENCE QUOTIENT FOR A GIVEN FUNCTION. IN THIS EXAMPLE, THE GIVEN FUNCTION IS A QUADRATIC FUNCTION AND AS MENTIONED IN EXAMPLE 1, THIS DIFFERENCE...

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- WELCOME TO THE FIRST EXAMPLE OF DETERMINING THE DIFFERENCE QUOTIENT FOR A GIVEN FUNCTION. THIS QUOTIENT HERE IS CALLED THE DIFFERENCE QUOTIENT, AND WHILE IT MIGHT SEEM RANDOM AT THIS POINT, THIS IS...

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- WE WANT TO FACTOR AND SOLVE QUADRATIC EQUATIONS IN THE FORM A SQUARED - B SQUARED = 0 WHICH MEANS WHEN WE HAVE A DIFFERENCE OF SQUARES. LET'S REVIEW HOW WE FACTOR THIS FIRST. IF WE HAVE A...

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Definition of the Derivative (Difference Quotient) Example 3 Hi, everyone. Welcome back to integralcalc.com. Today we're going to be doing another problem with the difference quotient....

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Definition of the Derivative (Difference Quotient) Example 2 Hi, everyone. Welcome back to integralcalc.com. Today were going to be using the definition of the derivative to find the... derivative of...