Simplifying this radical expression? We are given: f(x)=sqrt(x)−2ex and we have to calculate the difference quotient ((f(x+h)-f(x))/(h))

Aleseelomnl

Aleseelomnl

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2022-08-17

Simplifying this radical expression?
f ( x ) = x 2 e x
and we have to calculate the difference quotient ( f ( x + h ) f ( x ) h )
So what I have so far is:
( x + h ) 2 e ( x + h ) ( x 2 e x ) h
I would assume you would multiply the numerator by the conjugate correct?:
( x + h ) + 2 e ( x + h ) + ( x + 2 e x ) )

Answer & Explanation

lematayp

lematayp

Beginner2022-08-18Added 10 answers

( x + h ) 2 e ( x + h ) ( x 2 e x ) h = x + h x h 2 e x + h e x h by multiplying the numerator and denominator of the first term with x + h + x , we have 1 x + h + x 2 e x e h 1 h

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