Math 22 Differentiation
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The Constant Rule
The derivative of a constant function is zero. That is, where is a constant
Example: Find derivative of
1)
Solution: |
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2)
Solution: |
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3)
Solution: |
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The Power Rule
for is a real number.
Example: Find derivative of
1)
Solution: |
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2)
Solution: |
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3)
Solution: |
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We rewrite , so |
The Constant Multiple Rule
If is a differentiable function of and is a real number, then for is a constant.
1)
Solution: |
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2)
Solution: |
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The Sum and Difference Rules
The derivative of the sum or difference of two differentiable functions is the sum or difference
of their derivatives.
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Notes
1) since
2) We can use the first derivative to find the slope of the tangent line (first derivative is a function which generates the slope)
3) We usually denote as
This page were made by Tri Phan