Let $f ( x ) = 6 x ^ { 5 } - 90 \ln x$ , for x 0. Find the minimum value of f for x 0.
A) 0
B) $3 \left( 3 ^ { 5 } - 15 \ln 3 \right)$
C) 18(1 - ln 3)
D) $6 \left( 3 ^ { 5 } - 15 \ln 3 \right)$

Name: Let $f ( x ) = 6 x ^ { 5 } - 90 \ln x$ , for x > 0. Find the minimum value of f for x > 0. A) 0 B) $3 \left( 3 ^ { 5 } - 15 \ln 3 \right)$ C) 18(1 - ln 3) D) $6 \left( 3 ^ { 5 } - 15 \ln 3 \right)$
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Question

Let $f ( x ) = 6 x ^ { 5 } - 90 \ln x$ , for x > 0. Find the minimum value of f for x > 0.
A) 0
B) $3 \left( 3 ^ { 5 } - 15 \ln 3 \right)$
C) 18(1 - ln 3)
D) $6 \left( 3 ^ { 5 } - 15 \ln 3 \right)$

Quizplus · Accepted Answer

The Answer is C

Let f(x)=6x5−90ln⁡xf ( x ) = 6 x ^ { 5 } - 90 \ln xf(x)=6x5−90lnx

Let $f ( x ) = 6 x ^ { 5 } - 90 \ln x$