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Homework answers / question archive /   Limit definition Power rule Product rule Quotient rule Chain rule d/dx[e?]= d/dx[lnx]= d/dx[sin x] d/dx[tan x] d/dx[tan?¹x]= d/dx[cos x]= ∫kdx= ∫[f(x)±g(x)]dx= ∫1/x dx= ∫sinx dx= ∫sec²x dx= ∫cosx dx= ∫1/x²+a² dx=  

  Limit definition Power rule Product rule Quotient rule Chain rule d/dx[e?]= d/dx[lnx]= d/dx[sin x] d/dx[tan x] d/dx[tan?¹x]= d/dx[cos x]= ∫kdx= ∫[f(x)±g(x)]dx= ∫1/x dx= ∫sinx dx= ∫sec²x dx= ∫cosx dx= ∫1/x²+a² dx=  

Math

 

  1. Limit definition
  2. Power rule
  3. Product rule
  4. Quotient rule
  5. Chain rule
  6. d/dx[e?]=
  7. d/dx[lnx]=
  8. d/dx[sin x]
  9. d/dx[tan x]
  10. d/dx[tan?¹x]=
  11. d/dx[cos x]=
  12. ∫kdx=
  13. ∫[f(x)±g(x)]dx=
  14. ∫1/x dx=
  15. ∫sinx dx=
  16. ∫sec²x dx=
  17. ∫cosx dx=
  18. ∫1/x²+a² dx=

 

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  1. Limit definition

f'(x)=f(x+h)-f(x)/h

  1. Power rule

d/dx[x?]=nx??¹

  1. Product rule

d/dx[f(x)g(x)]=f'(x)g(x)+f(x)g'(x)

  1. Quotient rule

d/dx [f(x)/g(x)]=f'(x)g(x)-g'(x)f(x)/[g(x)]²

  1. Chain rule

d/dx[f(g(x))]=f'(g(x))g'(x)

  1. d/dx[e?]=

e?

  1. d/dx[lnx]=

1/x

  1. d/dx[sin x]

cos x

  1. d/dx[tan x]

sec² x

  1. d/dx[tan?¹x]=

1/1+x²

  1. d/dx[cos x]=

-sin x

  1. ∫kdx=

kx+C

  1. ∫[f(x)±g(x)]dx=

∫f(x)dx±∫g(x)dx

  1. ∫1/x dx=

ln|x|+C

  1. ∫sinx dx=

-cos x+C

  1. ∫sec²x dx=

tan x+C

  1. ∫cosx dx=

sin x+C

  1. ∫1/x²+a² dx=

1/a tan?¹(x/a)+C