# Is #f(x)=x^2-x# increasing or decreasing at #x=1#?

at #x=1) color(white)("X")f'(1)=1#

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To determine if ( f(x) = x^2 - x ) is increasing or decreasing at ( x = 1 ), we evaluate the derivative of ( f(x) ) at ( x = 1 ).

The derivative of ( f(x) ) with respect to ( x ) is ( f'(x) = 2x - 1 ).

When ( x = 1 ), ( f'(1) = 2(1) - 1 = 1 ).

Since ( f'(1) > 0 ), the function is increasing at ( x = 1 ).

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