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F(x+y)=f(x)+f(y) for every value of x,y belongs to R. Suppose f(6)=5 and f`(0)=1 then value of f`(6) equal to

F(x+y)=f(x)+f(y) for every value of x,y belongs to R. Suppose f(6)=5 and f`(0)=1 then value of f`(6) equal to

Grade:12

1 Answers

Chandan
121 Points
4 years ago
diffrentiate both sides wrt x keeping y constant
f’(x+y)(1)=f’(x)+0
put x=0 and y=6
f’(6)=f’(0)
f’(6)=1
 

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