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lim deltax>0 (f(x+deltax)-f(x))/delta x find for f(x)=3x-2
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x2+2xDeltaX+DeltaX2 x² + 2xΔx + (Δx)² I'm going to use h instead of Δx. x² + 2xh + h² [x² + 2hx + h² - 2x - 2h + 1 - x² + 2x - 1] / h Combining like terms: [2hx + h² - 2h] / h Divide out the h: 2x - 2 + h Apply the limit lim{h→0} [2x - 2 + h] = 2x - 2
why are you squaring? there is no square anywhere
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