Hi, I am beginning calculus right now but there's a bit of Algebra at the end of a limit problem that has me scratching my head. I'm obviously missing this knowledge as it might be very straight forward, but bear with me here.
So the limit problem is as follows F(x) = √2x
now the answer as I've checked wolframalpha is 1/(√2)(√x)
I just don't get how this is the answer. Checking the step by step calculation of this derivative I've follow the exact same until the second last step, this is where the algebra is messing with me.
the last step I get correct is the answer as √2/(2√x).
My question is how does √2/(2√x) get simplified to -----> 1/(√2)(√x)
So the limit problem is as follows F(x) = √2x
now the answer as I've checked wolframalpha is 1/(√2)(√x)
I just don't get how this is the answer. Checking the step by step calculation of this derivative I've follow the exact same until the second last step, this is where the algebra is messing with me.
the last step I get correct is the answer as √2/(2√x).
My question is how does √2/(2√x) get simplified to -----> 1/(√2)(√x)