EXPLORING CONCEPTS Transformations of Functions In Exercises 63-66, assume that f is differentiable for all x . The sign of f ’ are as follows. f ' ( x ) > 0 on ( − ∞ , − 4 ) , f ' ( x ) < 0 on ( − 4 , 6 ) , and f ' ( x ) > 0 on ( 6 , ∞ ) . Supply the appropriate inequality sign for the indicated value of c . Function Sign of g ' ( c ) g ( x ) = f ( x ) + 5 g ' ( 0 ) [ ? ] 0
EXPLORING CONCEPTS Transformations of Functions In Exercises 63-66, assume that f is differentiable for all x . The sign of f ’ are as follows. f ' ( x ) > 0 on ( − ∞ , − 4 ) , f ' ( x ) < 0 on ( − 4 , 6 ) , and f ' ( x ) > 0 on ( 6 , ∞ ) . Supply the appropriate inequality sign for the indicated value of c . Function Sign of g ' ( c ) g ( x ) = f ( x ) + 5 g ' ( 0 ) [ ? ] 0
Solution Summary: The author analyzes how the function g(x) and its derivatives would have similar critical points and differ just by the constant 5.
A 20 foot ladder rests on level ground; its head (top) is against a vertical wall. The bottom of the ladder begins by being 12 feet from the wall but begins moving away at the rate of 0.1 feet per second. At what rate is the top of the ladder slipping down the wall? You may use a calculator.
Explain the focus and reasons for establishment of 12.4.1(root test) and 12.4.2(ratio test)
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