Web Analytics
apologiabiology
Answered

how to differentiate \(f(x)= \frac{5}{x} +1\)


find f'(x) and f'(2) and f'(4)

I know that to differentiate you do

\(\lim_{changex \to 0} \frac{f(x+changex)-f(x)}{changex}\) where changex=Δx

but I'm stuck

ples help

Verified Answer :

\(f(x) = \dfrac{5}{x} =5x^-^1\) 

\(f'(x)= -5x^-^2= \dfrac{-5}{x^2}\) 

\(\text{plug in x = 2 and x=4}\) 

\(f'(2)= \dfrac{-5}{2^2} = 2^2 = 4 = \dfrac{-5}{4}\) 

\(f'(4)= \dfrac{-5}{4^2} = 4^2 = 4*4 = 16 = \dfrac{-5}{16}\) 

\(\text{Hence solved }\)

Related Questions