c h x x 3 x 2 Make sure the function is written as a power function to use the

# C h x x 3 x 2 make sure the function is written as a

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c . h x   x 3 x 2 Make sure the function is written as a power function to use the rule. h ' x   d dx x 5 3   5 3 x 5 3 1   5 3 x 8 3 x 1 3 x 2 x 5 3

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The derivative of a constant times a function, is the constant times the derivative of the function. 3. Constant Multiple ( ) ( ) is a constant d d cf x c f x c dx dx
3. Constant Multiple Example: a . f x   3 x 4 b . g x     x f ' x   d dx 3 x 4 3 x 4 1 12 x 3 g ' x   d du 1 x 1 c . h x   x 5 h ' x   d dx x 5 x 5 1   5 x 6 x 5 3 d dx x 4   4   1 x 1   1 d du x 1     1 x 1 1   1 1 d du x 5 5 5 x 6

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The derivative of a sum or a difference of functions is the sum or difference of the derivatives. In other words, if f and g are both differentiable, then: 4. Sum/Difference Rule ( ) ( ) d d d f x g x f x g x dx dx dx
4. Sum/Difference Rule

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