a - choose all correct answers 2a)
Posted: Tue May 10, 2022 11:19 am
a - choose all correct answers
2a)
1 Given f(x) = xe – Væ+ x and g(x) = + x2 – VX, which of the following is/are TRUE? X 1 4 х 2 O (} [f(x)g(x)]' = (exe-1 – 1x + + 1)(-2-2 + 2x – 1 x *) + (2€ – Væ+ m2) + x2 – V) og ha ze f(x) 1 (exe-1 [] 1 +7)( + x2 (x-2 + 2x – 1)(ze – Væ+7x) 1x tx g(2) (1 + x2 22 1 -3/4 х 2 vº) - (-2 х 3 1 [f(x) + g(x)]' = ex = e-1 - 1 -X 4 4 + - + 2x 1 2 x2 - [VF(a)' = } [ex- 1 - + ++ +1] 로 - - 4 +
f (x)Given the graph of the function y= f(x) below, identify which of the following statement is/are FALSE. y y = f(x) th Ꮖ 2 4 5 of(x) is continuous at x = 2 and differentiable there. of' (5) > f' (6) > f' (7) The tangent line to the graph of f (x) at x = 5 is horizontal. f(x) – f(7) lim 2 - 7 <0 27
Which of the following is ALWAYS TRUE? is also differentiable at f(x) If the functions f(x) and g(x) are differentiable at x = = 2, then their quotient g(2) X = 2. = f(x) - f(2) If f'(3) = 2, then lim X – 2 = 3. 2+2 If f(x) is differentiable at x = = 2, then lim f(x) = f(2). = 2+2 If f(x) and g(x) are continuous at x 2, then their product f(x)g(x) is differentiable at x = 2.
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f (x)Given the graph of the function y= f(x) below, identify which of the following statement is/are FALSE. y y = f(x) th Ꮖ 2 4 5 of(x) is continuous at x = 2 and differentiable there. of' (5) > f' (6) > f' (7) The tangent line to the graph of f (x) at x = 5 is horizontal. f(x) – f(7) lim 2 - 7 <0 27
Which of the following is ALWAYS TRUE? is also differentiable at f(x) If the functions f(x) and g(x) are differentiable at x = = 2, then their quotient g(2) X = 2. = f(x) - f(2) If f'(3) = 2, then lim X – 2 = 3. 2+2 If f(x) is differentiable at x = = 2, then lim f(x) = f(2). = 2+2 If f(x) and g(x) are continuous at x 2, then their product f(x)g(x) is differentiable at x = 2.