Calculus 7E
From the exercise 35 (a),
The expression for velocity of falling object is .
Differentiate on each side with respect to .
If is an increasing function with respect to , then .
Prove :
Consider .
Definition of exponential function:
Thus, the result in expression (1) is true, .
Therefore, heavier objects do fall faster than lighter ones.
, Heavier objects do fall faster than lighter ones.
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