Compute the following derivatives

[Torshi]

Homework Statement

compute the following derivatives using the product rule and quotient rule as necessary, without using chain rule.

Homework Equations

d/dx ((sin(x))^2)

The Attempt at a Solution

=(sin(x))(sin(x))
=(cos(x))(sin(x))+(sin(x))(cos(x))
=2(sin(x))(cos(x))

 

[jbunniii]

Homework Statement

compute the following derivatives using the product rule and quotient rule as necessary, without using chain rule.

Homework Equations

d/dx ((sin(x))^2)

The Attempt at a Solution

=(sin(x))(sin(x))
=(cos(x))(sin(x))+(sin(x))(cos(x))
=2(sin(x))(cos(x))

Looks fine to me. The final answer is equivalent to sin(2x) [trig identity] in case you want a slightly simpler form.

 

[Torshi]

Looks fine to me. The final answer is equivalent to sin(2x) [trig identity] in case you want a slightly simpler form.

Thanks