Derivatives Rules

Product Rule

1st x d2 + 2nd x d1

Chain rule

Bring down the exponent and put it in front, multiply by original function to one degree less, multiply by the derivative of the original function

quotient rule

(lo x dhi - hi x dlo) / low ^2

y=sin u

y’=cos*udu*

y=cos*u*

y=-sin*udu*

y= tan*u*

y= sec^2*udu*

y=cot*u*

y’=-csc^2*udu*

y=sec*u*

y’=tan*u* sec*udu*

y=csc*u*

y’=-cot*u* csc*udu*

y=e^u

y’=e^u *du*

y= a^*u*

y’=a^*u* ln *adu*

y=ln*u*

y’=(1/*u*)*du*

y= logₐ*u*

y’=(1/ln*a*)(1/*u*)*du*