Calculus A
Section 2.2 The Derivative Homework Hint 6. See the graph on textbook P.106 .
21.Start from the definition of derivative.
27. Think about the definition of differentiable.
32.Start from the definition of derivative, then find the tangent line equation.
46.Find the product of their slopes at there intersection points.
49.Find the point of tangency, then calculate the slope of tangent.
50. Find the slope first, then check the solutions under different conditions(b <
a2, b = a2 and b > a2).
51.(1) We know f(x) = f(x) for all x, and we want to prove that f’(x) = f’(x) for all x.
(2) We know f(x) = f(x) for all x, and we want to prove that f’(x) = f’(x) for all x.
52. Start from the definition of derivative.
54. dxdxn1 = limh→0 (x+h)1/nh −x1n
=limh→0 ((x+h)(x+h)1/n)1/nn−(x−x(1n1/n))n
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