calculus trig derivatives

d/dx sin

cos

d/dx tan

sec^2

d/dx cot

-csc^2

d/dx csc

-cscxcotx

d/dx sec

secxtanx

d/dx cos

-sin

d/dxarcsinu

1/sqrt(1-u^2) *du/dx

d/dx arccosu

-1/sqrt(1-u^2) *du/dx

d/dx arctanu

1/1+u^2 *du/dx

d/dx arccotu

-1/(1+u^2) *du/dx

d/dx arccscu

-1/u(sqrt(u^2-1)) *du/dx

d/dx arcsecu

1/u(sqrt(u^2-1)) *du/dx

product rule

f(x)g'(x)+f'(x)g(x)

quotient rule

g(x)f'(x)-f(x)g'(x) / g(x)^2

sin^2(x)+cos^2(x)=

1

cos^2(x)-1=

-sin^2(x)

sin(a+b)=

sinacosb+cosasinb

f(u(x))=

(f'(u))(u'(x))

d/dx (e^u)=

d/du(e^u)(d/dx(u))

d/dx ln(f(x))=

f'(x)/f(x)

d/dx ln(g(u))=

g'(u)/g(u) *u'

d/dx ln(x)

1/x

d/dx log(base a)x=

1/xln(a)

d/dx log(base a)u=

1/uln(a) *u'

exponential equation

y(t)= Y(i)e^kt

areas of circle

Pi*r^2

Surface of a cylinder

2pirh+ 2pi*r^2

Volume of a prism

Bh

Area of a trapezoid

h(a+b) /2

Volume of a pyramid

1/3*bh

Surface of a sphere

4πr^2

Volume sphere

4/3πr³