Exam 2

Question 1

d/dx (tan)

Answer 1

sec^2

Question 2

d/dx (cos)

Answer 2

-sin

Question 3

d/dx(sin)

Answer 3

cos

Question 4

d/dx (cot)

Answer 4

-csc^2

Question 5

d/dx(csc)

Answer 5

-csccot

Question 6

d/dx(sec)

Answer 6

sectan

Question 7

d/dx(sin-1)

Answer 7

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

Question 8

d/dx(cos-1)

Answer 8

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

Question 9

d/dx(tan-1)

Answer 9

1/x^2+1

Question 10

d/dx(cot-1)

Answer 10

-1/x^2+1

Question 11

d/dx(csc-1)

Answer 11

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

Question 12

d/dx(sec-1)

Answer 12

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

Question 13

a^b

Answer 13

e^(bln(a))

Question 14

d/dx(ln(fx))

Answer 14

f’(x)/f(x)

Question 15

logb(x)

change of base

Answer 15

ln(x)/ln(b)

Question 16

d/dx logb(fx)

Answer 16

f’(x)/ ln(b)*f(x)

Question 17

limit definition

Answer 17

f(x+h) -f(x)/h
or
f(x)-f(a)/x-a