Differentiation equations

Question 1

y = sink(x)

Answer 1

y = kcosk(x)

Question 2

y = cosk(x)

Answer 2

y = -ksink(x)

Question 3

y = e^kx

Answer 3

y = ke^kx

Question 4

y = ln(x)

Answer 4

y = 1/x

Question 5

y = a^kx

Answer 5

y = a^kx kln(a)

Question 6

dy/dx =

Answer 6

1 / dx/dy

Question 7

y = coseck(x)

Answer 7

y = -kcoseck(x)cotk(x)

Question 8

y = seck(x)

Answer 8

y = kseck(x)tank(x)

Question 9

y = cotk(x)

Answer 9

y = -kcosec² kx

Question 10

y = tank(x)

Answer 10

y = ksec² kx