Calculus Derivative Rules (2.7)

d/dX cos x

-sin x

d/dX sin x

cos x

d/dX e^x

e^x

d/dX ln x

1/x

d/dX a^x

a^xln a

d/dX log_ax

1/xln(a)

d/dX tan x

sec²x

d/dX cot x

-csc²x

d/dX csc x

-csc x cot x

d/dX sec x

sec x tan x

d/dX sin^-1(x) =

1/√1-x²)

d/dX cos^-1(x) =

-1/√1-x²)

d/dX sec^-1(x) =

1/|x|√1-x²)

d/dX csc^-1(x) =

-1/|x|√1-x²)

d/dX tan^-1(x) =

1/(x²+1)

d/dX cot^-1(x) =

-1/(x²+1)

LRAM Sum, inc. function

underest

RRAM Sum, inc. function

overest

LRAM Sum, dec. function

overest

RRAM Sum, dec. function

underest

Jsyk, { stands for the integral sign that I can’t type on my phone

{ cos x dx

Sin x + c

{sin x dx

-cos x + c

{sec²x dx

Tan x + c

{csc x cot x dx

-csc x + c

{sec x tan x dx

Sec x + c

{csc²x dx

-cot x + c

Tener (en el futuro)

tendr-

salir

saldr-

venir

vendr-

poner

pondr-

valer

valdr-

querer

querr-

poder

podr-

haber

habr-

saber

sabr-

decir

dir-

hacer

har-