$$\text { Find the critical number(s), if any, of the function } f ( x ) = e ^ { x ^ { 2 } - 10 x }$$ Select the correct answer.
A) $\sqrt { 10 }$
B) 5
C) $\sqrt { 10 }$ and $- \sqrt { 10 }$
D) 5 and $- 5$

Question

Quizplus · Accepted Answer

To find critical numbers, set the derivative $ f'(x) = e^{x^2 - 10x} (2x - 10) $ equal to zero. The exponential term is never zero, so solve $ 2x - 10 = 0 $ to get $ x = 5 $.

Find the critical number(s), if any, of the function f(x)=ex2−10x\text { Find the critical number(s), if any, of the function } f ( x ) = e ^ { x ^ { 2 } - 10 x } Find the critical number(s), if any, of the function f(x)=ex2−10x

$\text { Find the critical number(s), if any, of the function } f ( x ) = e ^ { x ^ { 2 } - 10 x }$