Calc Unit 1 Memorized Derivatives

(d/dx)sinx

cosx

(d/dx)cosx

-sinx

(d/dx)tanx

sec²(x)

(d/dx)cscx

-cscxcotx

(d/dx)secx

secxtanx

(d/dx)cotx

-csc²(x)

(d/dx)(a^x)

a^x(lna)

(d/dx)(e^x)

e^x

(d/dx)lnx

1/x

(d/dx)(log_b(x))

1/(x(lnb))

Product Rule

h(x)=g(x)*f’(x)+f(x)*g’(x)

Quotient Rule

(g(x)*f’(x)-f(x)*g’(x))/(g(x))²

(d/dx)(arcsinx)

1/(sqr(1-x²))

(d/dx)(arccosx)

-1/(sqr(1-x²))

(d/dx)(arctanx)

1/(1+x²)

(d/dx)(arccotx)

-1/(1+x²)

(d/dx)(arcsecx)

1/(|x|(sqr(x²-1)))

(d/dx)(arccscx)

-1/(|x|(sqr(x²-1)))