Differentiation 2

Question 1

Differentiate y=sin(kx)

Answer 1

kcos(kx)

Question 2

Differentiate y=cos(kx)

Answer 2

-ksin(kx)

Question 3

Differentiate y=e^(kx)

Answer 3

ke^(kx)

Question 4

Differentiate y=ln(x)

Answer 4

1/x

Question 5

Differentiate y=a^(kx) where a > 0

Answer 5

a^(kx) x kln(a)

Question 6

State the chain rule

Answer 6

Where u and u is another function of x, dy/dx = dy/du x du/dx

Question 7

State the product rule

Answer 7

if y = uv, dy/dx = v(dv/dx) + u(du/dx)

Question 8

State the quotient rule

Answer 8

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