Derivative of Trigonometric Function: y=5sin(0.5x+2)+6

[deathcabislov]

Homework Statement

Find the derivative of y=5sin(0.5x+2)+6

Homework Equations

My initial assumptions would be to use the chain rule.

The Attempt at a Solution

y=5sin(0.5x+2)+6
The chain rule is to take the derivative of the outer function and multiply by the derivative of the inner function.
y'=[5cos(0.5x+2)+6]*[0.5]
y'=[5cos(0.5x+2)+6]/2

But I know this isn't right..

 

[SammyS]

First use the rule for a sum. The derivative of 6 is zero.

 

[deathcabislov]

First use the rule for a sum. The derivative of 6 is zero.

So...
y'=5cos(0.5x+2)*0.5 ?

 

[Mark44]

Yes. And, simplified it would be y' = 2.5 * cos(0.5x + 2)