Chapter 9 Differentiation (Year 2) 9.1 - 9.5

Question 1

If y = sinkx what is dy/dx?

Answer 1

dy/dx = kcoskx

Question 2

If y = coskx what is dy/dx?

Answer 2

dy/dx = -ksinkx

Question 3

If y = e^kx what is dy/dx?

Answer 3

dy/dx = ke^kx

Question 4

If y = ln x what is dy/dx?

Answer 4

dy/dx = 1/x

Question 5

If y = a^kx what is dy/dx? (k is a real constant and a>0)

Answer 5

dy/dx = a^(kx)k ln a

Question 6

What is the chain rule?

Answer 6

dy/dx = dy/dt x dt/dx

Question 7

What is the product rule?

Answer 7

If y = uv
dy/dx = v du/dx + u dv/dx

Question 8

What is the quotient rule?

Answer 8

If y = u/v
dy/dx = (v du/dx - u dv/dx)/v^2