Find $f ( x )$ If $f ( 1 ) = \frac { 11 } { 2 }$

question 57

Multiple Choice

Find $f ( x )$ if $f ( 1 ) = \frac { 11 } { 2 }$ and the tangent line at $( x , f ( x ) )$ has the slope $11 x e ^ { x ^ { 2 } - 1 }$ .

• A) \(\frac { 11 } { 2 } e ^ { x ^ { 2 } - 1 } + \frac { 11 } { 2 }\)
• B) \(\frac { 1 } { 2 } e ^ { x ^ { 2 } - 1 } + C\)
• C) \(\frac { 1 } { 2 } e ^ { x ^ { 2 } - 1 }\)
• D) \(\frac { 11 } { 2 } e ^ { x ^ { 2 } - 1 }\)
• E) \(11 e ^ { x ^ { 2 } - 1 }\)

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