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DIAGNOSTIC TEST

DIAGNOSTIC TEST. CALCULUS 2 MATH 208. 1. The derivative of f(x) = x cosx is. 1 sin x cos x + x sin x cos x - x sin x -1 sinx. Wrong!. The derivative of uv is (uv)’ = u’v+uv’ NOT u’v’ Click here to continue Click here to try again. Wrong!.

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DIAGNOSTIC TEST

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  1. DIAGNOSTIC TEST CALCULUS 2 MATH 208

  2. 1. The derivative of f(x) = x cosx is • 1 sin x • cos x + x sin x • cos x - x sin x • -1 sinx

  3. Wrong! • The derivative of uv is • (uv)’ = u’v+uv’ • NOT u’v’ • Click here to continue • Click here to try again

  4. Wrong! • The derivative of cos x is – sin x, not sin x • Click here to continue • Click here to try again

  5. Correct! • Great job!

  6. 2. The derivative of f(x) = is

  7. Wrong! • The derivative of is • Click here to continue • Click here to try again

  8. Correct! • Great job!

  9. 3. The derivative of f(x) = sin3x is • 3 sin x cos x • -3 sin2x cos x • 3 sin2x cos x • 3 sin2 x

  10. Wrong! • The derivative of un is (un)’ = nun-1u’ and • The derivative of sin x is cos x, not – cos x • Click here to continue • Click here to try again

  11. Correct! • Great job!

  12. 4. An antiderivative of x2+ sec2 x is • 2x + 2sec2x tan x • x3/3 + tan x • x3/3 - tan x

  13. Wrong! • The derivative of x2 is 2x, the antiderivative is x3/3 • The antiderivative of sec2x is tanx • Click here to continue • Click here to try again

  14. Correct! • Great job!

  15. 5. The integral (x5 – cos 2x)dx is • 5x4 - 2sin 2x • x5/5 + (sin 2x)/2 • x5/5 – 2 sin 2x • x5/5 – (sin 2x)/2

  16. Wrong! • The derivative of x5 is 5x4, the antiderivative is x5/5 • The antiderivative of cos nx is (sin nx)/n • Click here to continue • Click here to try again

  17. Correct! • Great job!

  18. CONGRATULATION! YOU ARE DONE!

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