How to Simplify the Derivative of a Cosine-Sine Product

[n.a.s.h]

Homework Statement

Find the derivative:

F(x)= cos (x)* sin(5x^2 +7)

Homework Equations

The Attempt at a Solution

I used the power rule and the chain rule and wound up with this: but i don't know how to simplify it...

= -sin(x)*sin(5x^2+7)+(10x)*(cos x)*(cos (5x^2+7)

 

[Mark44]

Homework Statement

Find the derivative:

F(x)= cos (x)* sin(5x^2 +7)

Homework Equations

The Attempt at a Solution

I used the power rule and the chain rule and wound up with this: but i don't know how to simplify it...

= -sin(x)*sin(5x^2+7)+(10x)*(cos x)*(cos (5x^2+7)

You also used the product rule.

I don't see much that you can do to simplify this.

 

[n.a.s.h]

Homework Statement

Find the derivative:

F(x)= cos (x)* sin(5x^2 +7)

Homework Equations

The Attempt at a Solution

I used the power rule and the chain rule and wound up with this: but i don't know how to simplify it...

= -sin(x)*sin(5x^2+7)+(10x)*(cos x)*(cos (5x^2+7)

yeah sorry i meant product rule