Find The Slope Of The Tangent Line To F(x)=(4x^-2)

Anonymous

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Find the slope of the tangent line to f(x)=(4x^-2)+(2x)-(2 cube root of x) at x=8

 

Answer No.1

Anonymous

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F(x) = 4x-2 + 2x - 2 x1/3 --> f'(x) = -8x-3 + 2 - 2/3 x-2/3 --> f'(8) = -8/512 + 2 - 2/3 (1/4) = -1/64 + 2 - 1/6 = 349/192 So the slop of the tangent line is 349/192

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