APCA ch 2 exam 2023 with 100% correct answers
Lim x->c f(x) - f(a) / x - a The tangent line to the graph of f at a point p is the line containing the point p= (c, f(c)) and having the slope:: Y = f1(c)(x - c) + f(c) The equation of the tangent line C,f(c) f1(c) For the equation of a tangent line, the point is () and the slope is C,f(c) -1 / f1(c) For the equation of a normal line, the point is () and the slope is Y = -1/f1(c) (x - c) + f(c) The equation of the normal line lim h->0 f(x+h)-f(x)/h function Limit definition of the derivative at any real number x form 1 and it gives you f1(c) as a Lim x->c f(x) - f(c) / x - c value Limit definition of the derivative at any real number x form 2 and it gives you f1(c) as a lim h->0 f(c+h)-f(x)/c value Limit definition of the derivative at any real number x form 3 and it gives you f1(c) as a Differentiable If f has a derivative then f is said to be
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apca ch 2