Quotient Rule
QUOTIENT RULE OF DIFFERENTIATION:
Let's work some examples
Step 1: Simplify the numerator and denominator. Both the numerator and denominator are already simplified. |
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Step 2: Apply the quotient rule.
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Step 3: Calculate the two derivatives. |
Original Sum/Diff Rule Constant Multiple 3x2 - 5(1) + 0 Power & Constant
______________________________ Original Difference Rule 2x1 - 0 Power & Constant
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Step 4: Substitute the derivatives & simplify. |
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Step 1: Simplify the numerator and denominator. Both the numerator and denominator are already simplified. |
|
Step 2: Apply the quotient rule.
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|
Step 3: Calculate the two derivatives. |
Original Constant Mult. 3ex Natural Exp.
______________________________ Original Power
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Step 4: Substitute the derivatives & simplify. |
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Step 1: Simplify the numerator and denominator. Both the numerator and denominator are already simplified. |
|
Step 2: Apply the quotient rule.
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Step 3: Calculate the two derivatives. |
Original Constant Multiple 2(3x2) Power
________________________ Original Difference Rule Constant Multiple 0 - 3(2x) Constant/Power
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Step 4: Substitute the derivatives & simplify. |
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Related Links: Math algebra Chain Rule Trigonometry Differentiation Rules Algebra Topics |
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