SOLUTION: Hi I am using the power rule to find the derivative of f(x)= sqrt (x)
I know it goes:
f(x)= sqrt(x)
=x^1/2
=1/2x^1/2-2/2
=1/2×^-1/2
=1/ 2sqrt(x)
My question is why when I tu
Algebra.Com
Question 1091524: Hi I am using the power rule to find the derivative of f(x)= sqrt (x)
I know it goes:
f(x)= sqrt(x)
=x^1/2
=1/2x^1/2-2/2
=1/2×^-1/2
=1/ 2sqrt(x)
My question is why when I turn the exponent into a square root do I lose the negative ? Shouldnt the answer be 1/ 2sqrt(-x)?
Thanks
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
f(x)= sqrt(x)
=x^1/2
=1/2x^1/2-2/2
=1/2×^-1/2
=1/ 2sqrt(x)
My question is why when I turn the exponent into a square root do I lose the negative ? Shouldnt the answer be 1/ 2sqrt(-x)?
Thanks
================
The answer is, no, it's not sqrt(-x).
It's =1/(2sqrt(x))
RELATED QUESTIONS
The derivative of f(x)=1/sqrt(2x-3), with x>3/2... (answered by MathLover1,Solver92311)
Find the derivative using four-step rule:... (answered by Alan3354)
What is the derivative of this function? f(x) = sqrt of x-1 / x+1? and the derivative of... (answered by Alan3354)
Find the domain of these functions.
f(x)=7-x^2
g(x)=2x+1/x-1
f(x)=sqrt(x-5)... (answered by solver91311)
I need to determine the domain of f(x)= {{{sqrt(16-x^2) /... (answered by josgarithmetic)
composite function(FoG)(x)= F(x)=x^2-2x+1 G(x)= sqrt x-2
I know you (answered by Fombitz)
Hi, I have a problem with the algebra of getting the derivative of:... (answered by josgarithmetic)
Sorry I can’t find calculus topic so I’ll ask here instead, am I able to find the... (answered by MathLover1,ikleyn)
Find the inverse function of f
f(x) = sqrt(2x-1)
y=sqrt(2x-1)
y^2 = 2x-1
y^2 + 1 =... (answered by stanbon)