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Chapter 2: Q. 13 (page 197)

Given that f,g,h are functions with values f(2)=1, g(2)=-4, h(2)=3 and point -derivatives f'(2)=3, g'(2)=0, h'(2)=-1 Calculate

(fh)'(2)

Short Answer

Expert verified

The value is(fh)'(2)=8

Step by step solution

01

Given information

We are giventhat f,g,h are functions with values f(2)=1, g(2)=-4, h(2)=3 and point -derivatives f'(2)=3, g'(2)=0, h'(2)=-1

02

Calculate the value

We are given (fh)'(2)

Which can be simplified as

f(2)h'(2)+f'(2)h(2)=1(-1)+3(3)-1+9=8

Hence the value(fh)'(2)=8

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