Barrons AP Calculus
(E) 80. (A) (B) (C) (D) (E) 81. (A) (B) (C) (D) (E) 82. (A) (B) (C) (D) (E) 83. (A) (B) (C) (D) (E) 9 If , then the set of ...
(A) (B) (C) (D) (E) (A) (B) (C) (D) (E) (A) (B) (C) (D) (E) (A) (B) (C) (D) (E) (A) (B) (C) If f(a) = ...
(D) (E) 89. (A) (B) (C) (D) (E) 90. (A) (B) (C) (D) (E) g′(0) = 1 g′(1) = 0 Use this graph of y = f(x) for ...
(A) (B) (C) (D) (E) (A) (B) (C) (D) (E) (A) (B) (C) (D) (E) (A) (B) (C) (D) (E) For f (x) = 5x, ...
(A) (B) (C) (D) (E) 96. (A) (B) (C) (D) (E) 97. (A) (B) (C) (D) (E) g(sin x) cos x · g(x) g′(x) cos x · g (sin x) sin x · ...
I. II. III. (A) (B) (C) (D) (E) (A) (B) (C) (D) (E) (A) (B) (C) (D) (E) (A) (B) (C) (D) (E) Over which ...
(A) (B) (C) (D) (E) (A) (B) (C) (D) (E) According to this table, the best approximation of f ′(0.10) is 0.12 ...
■ ■ ■ ■ ■ ■ ■ ■ 4 Applications of Differential Calculus CONCEPTS AND SKILLS In this chapter, we review how to ...
Slope of a curve If the derivative of y = f (x) exists at P( x 1 , y 1 ), then the slope of the cu ...
Critical point Any c in the domain of f such that either f ′(c) = 0 or f ′(c) is undefined is called ...
x varies from a to a + h, the function f varies from f (a) to f (a + h), then we know that ...
B. TANGENTS TO A CURVE The equation of the tangent to the curve y = f(x) at point P(x 1 , y 1 ) is y ...
Tangent to a curve If the tangent to a curve is horizontal at a point, then the derivative at the point is ...
Tangents to Parametrically Defined Curves ...
BC ONLY If the curve is defined parametrically, say in terms of t (as in Chapter 1), then we obtain the slope ...
y^2 − 4y(−2y) = 4y^2 + 5 5 y^2 = 5. Thus y = ±1 and x = ±2. The points, then, are (2, −1) and (−2, ...
or ...
BC ONLY Example 9 __ Find the equation of the tangent to F(t) = ( cos t, 2 sin^2 t ) at the point wher ...
if x < 3 f ′(x) ≤ 0 and f is decreasing; if x > 3 f ′(x) > 0 and f is increasing. Note ...
Global (absolute) max/min ...
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