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Unformatted text preview: P if such a tangent line exists. The slope of the graph of y = f(x) at the point xo is lim f(xo + h) f(xo) h->0 h-Normals: If a curve C has a tangent line L at point P, then the straight line N through P perpendicular to L is the normal line slope of the normal = -1 ) slope of tangent 2.2 The Derivative -The derivative of a function f is another function f defined by f (x) = lim f(x + h) f(x) h->0 h at all points x for which the limit exists. If f (x) exists, we say f is differentiable at x-equation of tangent line to y=f(x) at (xo, f(xo)) is y=f(xo) + f (xo)(x-xo)-value of the derivative of f at xo f (xo) = lim f(xo + h) f(xo) = lim f(x) f(xo) h->0 h x->xo x-xo-if g(x) = c then g(x)=0-if f(x) = x^r, then f (x) = r x^(r-1)-a^n b^n = (a-b)(a^(n-1) + a^(n-2)b + a^(n-3)b^2 + ab^(n-2) + b^(n-1)-f (absx) = x ) abs(x)...
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This note was uploaded on 03/03/2010 for the course CALC 1110 at Cornell University (Engineering School).