Calculus Questionnaire

Calculus Questionnaire

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Mathematics

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Question 1 Which of the following is true about the curve x2 xy + y2 = 3 at the point (2, 1)? = A dy dx exists at (2, 1), but there is no tangent line at that point. (B dy dx exists at (2, 1), and the tangent line at that point is horizontal. C dy dar exists at (2, 1), and the tangent line at that point is neither horizontal nor vertical. dy D does not exists at (2, 1), and the tangent line at that point is vertical. dx E dy dx does not exists at (2, 1), and the tangent line at that point is horizontal. Question 3 If y = (x/x+1)”, then dy/dx A 4 5(1+x)4 B 4 (x+1)4 (C 5×4 (x+1)* 4 D 5.24 (x+1) (E 5×4.(2x+1) (x+1) Question 4 If y sinºx, then = dy dc A cos’ x (B 3 cos? x 3 sin’x -3 sin’ x cos x E 3 sinx cos x Question 5 Let fbe the function defined by f (x) = |x– 2 for all x. Which of the following statements is true? = (А. fis continuous but

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