Answers: 1
![\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)](/tpl/images/0192/9108/4bc1d.png)
![\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)]](/tpl/images/0192/9108/9c114.png)
![\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)](/tpl/images/0192/9108/6d8d8.png)
![\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)](/tpl/images/0192/9108/fb0e0.png)
![\displaystyle y' = \frac{d}{dx}[\cos(x)] \sin(x) + \cos(x) \frac{d}{dx}[\sin(x)]](/tpl/images/0192/9108/0ac26.png)
Trigonometric Differentiation: 
Derivative Property [Addition/Subtraction]: ![\displaystyle y' = \frac{d}{dx}[-\sin^2(x)] + \frac{d}{dx}[\cos^2(x)]](/tpl/images/0192/9108/8cd7d.png)
Rewrite [Derivative Property - Multiplied Constant]: ![\displaystyle y' = -\frac{d}{dx}[\sin^2(x)] + \frac{d}{dx}[\cos^2(x)]](/tpl/images/0192/9108/7a5ed.png)
Basic Power Rule [Derivative Rule - Chain Rule]: ![\displaystyle y' = -2 \sin(x) \frac{d}{dx}[\sin(x)] + 2 \cos(x) \frac{d}{dx}[\cos(x)]](/tpl/images/0192/9108/62c25.png)
Trigonometric Differentiation: 
Simplify: 
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