Finding the Derivative of sin(x)cos(x)

[messedmonk]

Homework Statement

partial derivative (d/dx) sin(x)cos(x)

Homework Equations

Partial Derivatives, product rule

The Attempt at a Solution

sin(2x) = 2 sin x cos x, therefore y=sin(2x)/2

so y'=cos(2x)*(2/2) = cos (2x)?

Is this correct?
Is there an easier way of directly finding the derivative without using substitution?

 

[rocomath]

I don't see why you would be using partial differentiation with this problem? It is not a product of two variables?

No, that's the quickest method. Use the trig identity to avoid product rule.

Either way, GOOD JOB!