Chapter 9: Differentiation

Question 1

d/dx (sin(kx))

Answer 1

k cos(kx)

Question 2

d/dx (cos(kx))

Answer 2

-k sin(kx)

Question 3

d/dx (e^kx)

Answer 3

ke^kx

Question 4

d/dx (a^kx)

Answer 4

kln(a) . (a^kx)

Question 5

d/dx (ln x)

Answer 5

1/x

Question 6

d/dx (ln kx)

Answer 6

1/x

Question 7

d/dx (tan(kx))

Answer 7

k sec^2(kx)

Question 8

d/dx (cot(kx))

Answer 8

-k cosec^2(kx)

Question 9

d/dx sec(kx)

Answer 9

k (sec(kx)tan(kx))

Question 10

d/dx cosec(kx)

Answer 10

-k (cosec(kx)cot(kx))