How do you find the derivative of #cos^6(2x+5)#?

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Answer 1 · 2018-06-24T21:36:01

Applying chain rule for differentiation as follows

#\frac{d}{dx}\cos^6(2x+5)#

#=\frac{d}{dx}(\cos(2x+5))^6#

#=6(\cos(2x+5))^5\frac{d}{dx}(\cos(2x+5))#

#=6\cos^5(2x+5)(-\sin(2x+5))\frac{d}{dx}(2x+5)#

#=-6\sin(2x+5)\cos^5(2x+5)(2)#

#=-12\sin(2x+5)\cos^5(2x+5)#