derivative rules

• $d/dx sinx$


  cos x
• $d/dx cos x$


  -sin x
• d/dx tan x 


  $sec^2x$
• $d/dx cotx$


  $-csc^2x$
• $d/dx secx$


  $secxtanx$
• $d/dx (cscx)$


  -cscxcotx
• product rule

  $d/dx fg =$$f^1(g) +$$f(g^1)$
• quotient rule

  $d/dx (f/g) =$$(g(f^1) - f(g^1))/g^2$