Examples of Basic Rules for Derivatives

# Examples of Basic Rules for Derivatives - ′ = = ⋅-= =-=...

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1.5A Basic Rules for Derivatives

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Example 1 Find the derivative with respect to x for Do not leave a negative exponent in the final answer. y x x π = - + 2 2
y x x π = - + 2 2 [ ] ( 29 d d d y x x dx dx dx d x dx x x -   = - +       = - +     = - = - 2 2 2 1 2 1 0 2 1 2 1

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Example 2 Find the derivative with respect to x for Do not leave a negative exponent in the final answer. ( 29 f x x = 2 9 5
( 29 f x x = 2 9 5 ( 29 ( 29 d d f x x x dx dx x x x - - - - -  

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Unformatted text preview: ′ = = ⋅ -= - =-= 2 2 2 1 3 3 9 9 5 5 9 18 2 5 5 18 5 Example 3 Find the derivative with respect to x for Do not leave a negative exponent in the final answer. x x y + = 2 3 6 x x y + = 2 3 6 ( 29 ( 29 ( 29 ( 29 dy d d x x x x dx dx dx x x = + = ⋅ + + = + = 2 2 1 1 3 3 6 6 2 3 1 2 3 6 6...
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Examples of Basic Rules for Derivatives - ′ = = ⋅-= =-=...

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