Find an equation of the line that is tangent to the graph of f and parallel to the given line:

Question

juan1857 · Answer

$$Function: f(x)=\frac{ 1 }{ \sqrt{x} }$$

juan1857 · Answer

$$Line:x+2y-6=0$$

agent0smith · Answer

First find the slope of the given line.

Then find the derivative of f(x), and set it equal to that slope, solve for x.

Then plug x back into f(x) and solve.

Then you can make the equation of the line, using the slope from the first step, and the point (x, f(x))

juan1857 · Answer

yeah Im having trouble setting it equal to the slope

agent0smith · Answer

Show work.

juan1857 · Answer

$$x ^{-1/2}=\frac{ -x }{ 2 }$$

juan1857 · Answer

that's the farthest I've gotten

agent0smith · Answer

That's... not close. You haven't even found the derivative of f(x). I've no idea what you did.

Follow the steps in the order I gave. Show work.

juan1857 · Answer

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