AP Calculus BC Study Guide CORRECT QUESTIONS & SOLUTIONS!!

AP Calculus BC Study Guide
CORRECT QUESTIONS &
SOLUTIONS!!
sin² θ + cos² θ = - ANSWER1

1 + tan² θ = - ANSWERsec² θ

1 + cot² θ = - ANSWERcsc² θ

sin(-θ) = - ANSWER-sin θ

cos(-θ) = - ANSWERcos θ

tan(-θ) = - ANSWER-tan θ

sin(A + B) = - ANSWERsinAcosB + sinBcosA

sin(A - B) = - ANSWERsinAcosB - sinBcosA

cos(A + B) = - ANSWERcosAcosB - sinAsinB

cos(A - B) = - ANSWERcosAcosB + sinAsinB

sin 2θ = - ANSWER2sinθcosθ

cos 2θ = - ANSWERcos² θ - sin² θ
= 2cos² θ - 1
= 1 - 2sin² θ

tan θ = - ANSWERsin θ / cos θ
= 1 / cot θ

cot θ = - ANSWERcos θ / sin θ
= 1 / tan θ

sec θ = - ANSWER1 / cos θ

csc θ = - ANSWER1 / sin θ

cos² θ = - ANSWER()(1 + cos 2θ)

sin² θ = - ANSWER()(1 - cos 2θ)

d/dx (x^n) = - ANSWERnx^(n - 1)

, d/dx (fg) = - ANSWERfg' + gf'

d/dx (f / g) = - ANSWER(gf' - fg') / g^2

d/dx f(g(x)) = - ANSWERf'(g(x))g'(x)

d/dx (sin x) = - ANSWERcos x

d/dx (cos x) = - ANSWER-sin x

d/dx (tan x) = - ANSWERsec² x

d/dx (cot x) = - ANSWER-csc² x

d/dx (sec x) = - ANSWERsecxtanx

d/dx (csc x) = - ANSWER-cscxcotx

d/dx (e^x) = - ANSWERe^x

d/dx (a^x) = - ANSWERa^x * ln a

d/dx (ln x) = - ANSWER1 / x

d/dx (Arcsin x) = - ANSWER1 / √(1 - x²)

d/dx (Arctan x) = - ANSWER1 / (1 + x²)

d/dx (Arcsec x) = - ANSWER1 / (|x| * √(x² - 1))

d/dx (Arccos x) = - ANSWER-1 / √(1 - x²)

d/dx (Arccot x) = - ANSWER1 / (1 + x²)

d/dx (Arccsc x) = - ANSWER-1 / (|x| * √(x² - 1))

d/dx [c] = - ANSWER0

d/dx [cf(x)] = - ANSWERcf'(x)

∫a dx = - ANSWERax + C

∫x^n dx = - ANSWER(x^n+1) / (n + 1) + C,
n≠1

∫1 / x dx = - ANSWERln |x| + C

∫e^x dx = - ANSWERe^x + C

∫a^x dx = - ANSWERa^x / ln a + C