Chain rule and trig functions

Question 1

What do you get if you differentiate sin x?

Answer 1

cos x

Question 2

What do you get if you differentiate cos x?

Answer 2

-sin x

Question 3

Chain rule for differentiation

Answer 3

Differentiate around the bracket then multiply by the derivative of what inside the bracket.

Question 4

What do you get if you differentiate sin(ax+b)?

Answer 4

acos(ax+b)

Question 5

What do you get if you differentiate cos(ax+b)?

Answer 5

-asin(ax+b)

Question 6

Sin^3x =

Answer 6

(Sinx)^3

Question 7

Derivative of sin^3x

Answer 7

3(sinx)^2 * cosx so

3sinx^2cosx