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3/4(2x + 7)9

the answer is apparently is 

-27/2(2x+7)10 

My denominator doesn't equal to 2 when I try to work it out is the answer wrong or me? Help :'(

Thank you  

 Aug 15, 2017
edited by Ashreeta  Aug 15, 2017
 #1
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differentiate (2x+7) (chain rule) than you get denominator equal 2

 Aug 15, 2017
 #2
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\(\dfrac{d}{dx}\dfrac{3}{4(2x+7)^9}\\ =\dfrac{3}{4}\dfrac{d}{dx}\dfrac{1}{(2x+7)^9}\\ =\dfrac{3}{4}\left(\dfrac{d}{dx}(2x+7)\right)\cdot\dfrac{-9}{(2x+7)^{10}}\\ =\dfrac{3}{4}\cdot 2\cdot -9\cdot \dfrac{1}{(2x+7)^{10}}\\ =\dfrac{-27}{2(2x+7)^{10}}\)

So there u go, with a denominator equals 2.

 Aug 15, 2017

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