Chapter 3 Test

Question 1

arcsin(u)

Answer 1

1/(√1-u^2) dy/dx

Question 2

arctan(u)

Answer 2

1/(1+u^2) dy/dx

Question 3

arcsec(u)

Answer 3

1/(|u|√u^2-1) dy/dx

Question 4

arccos(u)

Answer 4

-1/(√1-u^2) dy/dx

Question 5

arccot(u)

Answer 5

-1/(1+u^2) dy/dx

Question 6

arccsc(u)

Answer 6

-1/(|u|√u^2-1) dy/dx

Question 7

inverse function thingie

Answer 7

f: x= ?, y = a
f ‘ : x=y, y=x
(arcf) ‘ (a) = 1/(f ‘ (y))

Question 8

Derivative of y=e^x

Answer 8

e^u du/dx

Question 9

Derivative of y=a^x

Answer 9

a^u ln(a) du/dx

Question 10

Derivative of y=ln(x)

Answer 10

1/u du/dx

Question 11

Derivative of y=loga(x)

Answer 11

1/(u ln(a)) du/dx

Question 12

Derivatives of Powers

Answer 12

n u^(n-1) du/dx