Calc exam 2

d/dx [sin x] =

cosx

d/dx [sec x] =

secx tanx

d/dx [tan x] =

sec²x

d/dx [cos x] =

-sinx

d/dx [csc x] =

-cscx cotx

d/dx [cot x] =

-csc²x

product rule [f x g]’

f’(g) + f(g’)

quotient rule d/dx [f/g]

g(f’) - f(g’) / g²

1/x =

x^-1

√x =

x^1/2

³√x⁵

x^5/3

d/dx [e^u] =

e^u(u’)

d/dx [ln u] =

u’/u

tan x =

sinx / cos x

sec²x =

1 + tan²x

cos²x + sin²x =

1

secx =

1/cosx

chain rule d/dx (f[g(x)]) =

f’[g(x)] (g’(x))

d/dx [uⁿ] =

n[u]^n-1(u’)