MAT-117-Week-One-1-Discussion-Questions[1]

MAT-117-Week-One-1-Discussion-Questions[1] - Week One DQs...

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Week One DQ’s Day 2- Explain three rules for exponents listed in the chart on p. 239 (section 4.2). Do not explain the first two definitions listed in the table (Exponent of 1 or 0). Create an expression for your classmates to solve that uses scientific notation and at least one of the rules for exponents you have described. A negative exponent just means that the base is on the wrong side of the fraction line, so you need to flip the base to the other side. For example, " x –2 " just means " x 2 , but underneath, as in 1/( x 2 )". The derivative of a product is the first factor times the derivative of the second plus the second factor times the derivative of the first. For example, { f (x) g (x)} ' = f (x) g ' (x) + f ' (x) g (x). The quotient rule says that the derivative of the quotient of two differentiable functions and exists at all values of as long as and is given by the formula This is called the power rule. For example, d d x x 5 = 5x 4 It is usual to prove the power rule by means of the binomial theorem. When a product is raised to a power, we can distribute that power through to each term
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MAT-117-Week-One-1-Discussion-Questions[1] - Week One DQs...

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