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Methods2025 Exam 2 Section A · Q16CAS active1 mark

Derivative of a logarithm with positive range

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Consider the function $h(x) = a\log_e(bx)$ , where $a, b \in R \setminus \{0\}$ .

Given that its derivative $h'(x)$ has range $(0, \infty)$ , which of the following must be true?

1 mark

A

a > 0

onlyB

a > 0

and

b < 0

C

a > 0

and

b > 0

D

ab > 0

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