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11 Cards in this Set
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- Back
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Differentiate y=sinx
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dy/dx=cosx
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Differentiate y=cosx
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dy/dx= -sinx
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Integrate sinx
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-cosx
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Integrate cosx
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sinx
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I (f(x))^n x f '(x) =
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(f(x)^(n+1)) / n+1 + C
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I f '(x) / f(x) =
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ln f(x) + C
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When you integrate always put what at the end
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C
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How do you differentiate y=cos^2x
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Chain rule
y=u^2 dy/du=2U u= cosx du/dx = -sinx dy/dx= -2sinxcosx |
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How do you differentiate y=cos2x
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Chain Rule
y=cosu dy/dx= -sinu u=2x du/dx=2 dy/dx= -2sin2x |
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cos2x can also be writted as
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cos^2 x - sin^2 x
2cos^2 x -1 1-2sin^2 x |
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With the Binomial Expansion (p+qx)^n, if n is a negative integer or fraction, it is only valid when
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I QX/P I < 1
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