If $f ( t ) = \sqrt { 9 t + 1 }$, find $f ^ { \prime \prime } ( 5 )$
A) $- 0.065$
B) $- 0.033$
C) $0.015$
D) $- 0.22$
E) $0.044$

Name: If $f ( t ) = \sqrt { 9 t + 1 }$, find $f ^ { \prime \prime } ( 5 )$ A) $- 0.065$ B) $- 0.033$ C) $0.015$ D) $- 0.22$ E) $0.044$
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Question

Quizplus · Accepted Answer

The second derivative of $f(t) = \sqrt{9t+1}$ is $f''(t) = -\frac{9}{4(9t+1)^{3/2}}$. Evaluating this at $t=5$ gives $f''(5) = -\frac{9}{4(9(5)+1)^{3/2}} = -\frac{9}{4(46)^{3/2}} = -0.065$.

If f(t)=9t+1f ( t ) = \sqrt { 9 t + 1 }f(t)=9t+1​

If $f ( t ) = \sqrt { 9 t + 1 }$