Math 221 Calculus 1 Exam Review Questions with 100% Correct Answers

Math 221 Calculus 1 Exam Review Questions with 100% Correct Answers d/dx (log b X) Correct Answer 1/ (X ln(b))
d/dx (a^x) Correct Answer a^x (ln a )
d/dx (tan x) Correct Answer sec^2x
d/dx (cot x) Correct Answer -csc^2 x
d/dx (csc x) Correct Answer -csc x * cot x
d/dx (sec x) Correct Answer sec x * tan x
d/dx (arctan x) (TEST) Correct Answer 1/(x^2 + 1)
d/dx (arcsin x) (TEST) Correct Answer 1/ (sqrt (1- x^2))
d/dx (arcsec x) (TEST) Correct Answer 1/ (sqrt (x( x^2- 1)))
d/dx (sinh x) (TEST) Correct Answer cosh x
d/dx (cosh x) (TEST) Correct Answer sinh x
sinh x (TEST) Correct Answer [(e^x) - (e^(-x))] / 2
cosh x (TEST) Correct Answer [(e^x) + (e^(-x))] / 2
tan x (TEST) Correct Answer (sin x)/(cos x)
x^x = y (d/dx = ?) Correct Answer x^x * (ln x + 1)
sin^2 x + cos^2 x (TEST) Correct Answer 1
sin (2x) = cos (2x) = ? (TEST) Correct Answer 2sinxcosx
1 + cot^2 x (TEST) Correct Answer csc^2 x
tan^2 x + 1 (TEST) Correct Answer sec^2 x
If m < f(x) < M for a < x < b, then Correct Answer m (b-a) < INT [a,b] f(x)dx < M (b-a)
Definition of Definite Integral: delta x = Correct Answer (b-a)/ n
X(sub. k) (right) Correct Answer a + k*(delta x)
X(sub k) (left) Correct Answer a + (k-1)(delta x)