Differentiation (2)

Question 1

dy/dx when y=f(u) and u=g(x)?

Answer 1

dy/du * du/dx

Question 2

dy/du * du/dx

Answer 2

dy/dx when y=f(u) and u=g(x)?

Question 3

dy/dx for x=f(y)

Answer 3

1/(dx/dy)

Question 4

1/(dx/dy)

Answer 4

dy/dx for x=f(y)

Question 5

What if y = lnx?

Answer 5

x = e^y

Question 6

x = e^y

Answer 6

What if y = lnx?

Question 7

d/dx (e^kx)

Answer 7

ke^kx

Question 8

ke^kx

Answer 8

d/dx (e^kx)

Question 9

What is d/dx (a^x)?

Answer 9

a^x ln a

Question 10

a^x ln a

Answer 10

What is d/dx (a^x)?

Question 11

What is dy/dx of sin x?

Answer 11

cos x

Question 12

cos x

Answer 12

What is dy/dx of sin x?

Question 13

What is dy/dx of cos x?

Answer 13

-sin x

Question 14

-sin x

Answer 14

What is dy/dx of cos x?

Question 15

What is dy/dx of tan x?

Answer 15

sec^2 x

Question 16

sec^2x

Answer 16

What is dy/dx of tan x?

Question 17

What is (dy/dx) y = u(x)v(x)?

Answer 17

u(dv/dx) + v(du/dx)

Question 18

u(dv/dx) + v(du/dx)

Answer 18

What is (dy/dx) y = u(x)v(x)?