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11 Cards in this Set

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