10FallHwk04

10FallHwk04 - Math 2413 Differentiation Formulas 1...

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Math 2413 Homework Set 4 10 Points Differentiation Formulas 1. Differentiate : () 43 4 10 1 8 62 3 h t tt t = + -+ 2. Find the equation of the tangent line to ( ) 7 5 42 g x x xx - =+ at 1 x = . 3. Find the point(s) where the tangent line to ( ) 32 2 93 f x x = +-+ will be perpendicular to 1 4 21 yx =- . 4. The position function of an object is ( ) 2 4 5 26 4 100 s t t =-++ where t is in seconds and s is in feet. Assume that the object starts moving at 0 t = and answer the following questions. (a) What is the velocity of the object at any time t ? (b) When, if ever, is the object at rest ( i.e. not moving)? (c) When is the object moving to the right and when is it moving to the left? 5. What percentage of the range [-5,6] is ( ) 5 25 5 06 f z z zz =--- decreasing? Product and Quotient Rule For problems 6 & 7 use the Product or Quotient Rule to find the derivative.
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10FallHwk04 - Math 2413 Differentiation Formulas 1...

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