How do you find the slope of the tangent line to the graph of the given function # f(x)= 2x-x^2#; x=0?

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Answer 1 · 2018-07-05T09:53:39

#2#

The slope of a tgangent line to a curve in a Point #(x_0,y_0)# is given by

#f'(x_0)#

differentiating #f(x)# with respect to #x# we get

#f'(x)=2-2x#

so #f'(0)=2#

Answer 2 · 2018-07-05T10:35:14

#"slope "=2#

#"the slope of the tangent line "=f'(0)#

#f'(x)=2-2x#

#f'(0)=2-0=2larrcolor(blue)"slope of tangent line"#