Closing out Calc I

Question 1

d/dx of tan^-1(x)

Answer 1

1/(1+x^2)

Question 2

d/dx of sin^-1(x)

Answer 2

1/(sqrt(1-x^2)

Question 3

d/dx of cos^-1(x)

Answer 3

-1/(sqrt(1-x^2)

Question 4

d/dx of cot^-1(x)

Answer 4

-1/(1+x^2)

Question 5

d/dx of csc^-1(x)

Answer 5

-1/(|x|sqrt(x^2-1)

Question 6

d/dx of sec^-1(x)

Answer 6

1/(|x|sqrt(x^2-1)

Question 7

sin = 1/(?)

Answer 7

sin = 1/csc

Question 8

cos = 1/(?)

Answer 8

cos = 1/sec

Question 9

a^b = e^(?)

Answer 9

a^b = e^(b*ln(a))