Section 3.1 Powers and Polynomials

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Section 3.1Powers and Polynomials
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• Multiplying a function by a constant stretches or
  shrinks the original graph
• The slop at each point changes by the same amount
• Case in point
• Multiply the
• function by 3
• and see what
• happens to the
• tangent line

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Theorem 3.1

• If f is differentiable and c is a constant, then
• In other words, we can ignore a constant when
  taking a derivative and then put it back when
  we are done
• Example

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Theorem 3.2

• If f and g are differentiable then
• In other words, we can break up a function over
  addition and subtraction and differentiate the
  function piece by piece
• Example

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Lets find some derivatives

• For the following find the first and the second
  derivatives