Please show your work and simplify your answers Answers without supporting work will receive credit Consider the function f ( x ) x 2 e x 2 ( a ) ( 4 points ) Find f ' ( x ) x 2 e x 2 2 x e x 2 x 2 1 e x 1 2 2 x e x 2 1 2 x 2 e x 1 2 ( b ) ( 2 points ) Find f ' ( 1 ) ( c ) ( 2 points ) Find the slope of the line tangent to f ( x ) at x 1 ( d ) ( 2 points ) Write the equation for the line tangent to f ( x ) at x 1

Question

Please show your work and simplify your answers  Answers without supporting work will receive credit  Consider the function f ( x )   x 2 e x 2   ( a ) ( 4 points ) Find f  ' ( x )   x 2 e x 2 2 x e x 2 x 2 1 e x   1 2 2 x e x 2 1 2 x 2 e x   1 2 ( b ) ( 2 points ) Find f  ' ( 1 )   ( c ) ( 2 points ) Find the slope of the line tangent to f ( x ) at x   1   ( d ) ( 2 points ) Write the equation for the line tangent to f ( x ) at x   1

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Please show your work and simplify your answers. Answers without supporting work will receive credit. Consider the function f ( x ) = x 2

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1 Understanding Responsive Design Principles

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