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Chapter 4: Q. 79 (page 363)

ThefunctionsF,GaredifferentiablealsoG(x)=F(x)+C.Where,Cisanyconstant.ProvethatF'(x)=G(x).

Short Answer

Expert verified

Proved

Step by step solution

01

Step 1. To prove

F'(x)=G(x).

02

Step 2. Proving

Now,ddx(G(x))=ddx(F(x)+C)G'(x)=F'(x)+0G'(x)=F'(x)Therefore,itisprovedthatF'(x)=G'(x)

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