Quotient Next Slide © Annie Patton.

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U2 L5 Quotient Rule QUOTIENT RULE

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Presentation transcript:

Quotient Next Slide © Annie Patton

To discover how to differentiate a quotient by the Quotient Rule. Aim of Lesson To discover how to differentiate a quotient by the Quotient Rule. © Annie Patton

Examples So one thing divided by another. What is a quotient? Examples So one thing divided by another. Next Slide © Annie Patton

Differentiation of a quotient Let the top part equal u and the bottom part equal v. Then use the formula For example if Let u=x3 and v=4x-5 Then Next Slide © Annie Patton

Differentiate Start clicking when you want to see the answer. u = x2 - 5 v= 2x2 Next Slide © Annie Patton

Proof of Quotient Rule by First Principles Next Slide © Annie Patton

Leaving certificate 2007 Higher Level Paper 1 no 6(a) Start clicking when you want to see the answer. Next Slide © Annie Patton

Leaving certificate 2004 Higher Level Paper 1 no 6(a) Start clicking when you want to see the answer. Next Slide © Annie Patton

Differentiate with respect to x Next Slide © Annie Patton

Click to get more examples for the quotient rule, but ignore the ones with e in it. Next Slide © Annie Patton

Formula © Annie Patton