if a > 0, b>0, show that f(x)= a(1-e^-bx) is everywhere increasing and everywhere concave down.
1 answer:
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Option C:
Solution:
Given expression is
Note:
To find the correct expression for the above simplified expression.
Option A:
5 can be written as .
It is not the given simplified expression.
Option B:
Cancel the common factor in both numerator and denominator.
It is not the given simplified expression.
Option C:
Cancel the common factor in both numerator and denominator.
It is the given simplified expression.
Option D:
It is not the given simplified expression.
Hence Option C is the correct answer.