MHB How Do You Differentiate (1+sin²x)³?

[markosheehan]

can someone go through the steps how to differentiate (1+sin²x)³

 

[topsquark]

can someone go through the steps how to differentiate (1+sin²x)³

It's multiple uses of the chain rule:
[math]\frac{d}{dx} [ (1 + sin^2(x) )^3 ] [/math]

[math]= 3 (1 + sin^2(x) )^2 \cdot \frac{d}{dx} [ 1 + sin^2(x) ] [/math]

Can you finish from here?

-Dan

 

[markosheehan]

yes thanks