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# Calculus Early Transcendentals Study Set 1

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## Quiz 2 : The Derivative

Find f (x) where .
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Essay

If , (Do not reduce any trig ratio identities.)
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Multiple Choice

B

Find an equation for the tangent line to the graph of y = x sin x at x = .
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E

Find f (x) where f(x) = x2(sin 8x)6.
Essay
Answer true or false. If , .
True False
y = cot (sin x). Find dy/dx.
Multiple Choice
If , then
Multiple Choice
Find the value of the constant A in y = A sin 3t so that d2y/dt2 + 7y = sin 3t.
Multiple Choice
Answer true or false. If y = cos(x6), d2y/dx2 = -cos(x6).
True False
Use a graphing utility to obtain the graph of . Determine the slope of the tangent line to the graph at x = 0.
Multiple Choice
f(x) = (x4 - 3)38. f (x) =
Multiple Choice
Answer true or false. Given f (x) = 5x and , then if F(x) = f(g(x)).
True False
y = sin3( - 9). Find dy/d.
Multiple Choice
Find dy/dx if y = cos(sin x).
Multiple Choice
Answer true or false. If y = sin 6x - cos x3, d2y/dx2 = 18 cos x.
True False
y = x4 sin(5x). Find dy/dx.
Multiple Choice