Precalc Derivatives

Product Rule

f’(x)g(x)+g’(x)f(x)

Quotient Rule

(f'(x)g(x)-f(x)g'(x))

---

g(x)²

Chain Rule

f’(g(x)) * g’(x)

d/dx [sinx]

cosx

d/dx [cosx]

-sinx

d/dx [tanx]

sec²x

d/dx [secx]

secxtanx

d/dx [cotx]

csc²x

d/dx [cscx]

cscxcotx

d/du [lnu]

(1/u)u’

d/du [e^u]

(e^u)u’

d/du [a^u]

(a^u)(lna)u’

d/du [log_au]

u’/ulna

d/du [arcsin(u)]

u’/(√1-u²)

d/du [arctan(u)]

u’/(1+u²)

d/du [arcsec(u)]

u’/[|u|√(u²-1)]

d/du [arccos(u)]

-u’/(√1-u²)

d/du [arccot(u)]

-u’/(1+u²)

d/du [arccsc(u)]

-u’/[|u|√(u²-1)]