You don't need implicit differentiation, part II

Calculus Level 4

If $y = \displaystyle \sqrt{\dfrac{x}{\sqrt{\dfrac{x}{\sqrt{\dfrac{x}{\sqrt{}...}}}}}}$ , find $\left. \dfrac{dy}{dx} \right|_{x= -8}$

\dfrac{4}{3}

\dfrac{1}{12}

- \dfrac{4}{3}

- \dfrac{1}{12}

The derivative does not exist

1 solution

Hjalmar Orellana Soto
Mar 20, 2016

There is no real value of $y$ such that $x=-8$ , because $\sqrt{x}$ is not defined as a real number for $x<0$

Correct. But do you want to explain why?

Hobart Pao - 5 years, 2 months ago

Is it right the explanation?

Hjalmar Orellana Soto - 5 years, 2 months ago

It looks good now. (+1). Thanks!

Hobart Pao - 5 years, 2 months ago

@Hobart Pao – Thanks you for giving me the advice

Hjalmar Orellana Soto - 5 years, 2 months ago

@Hjalmar Orellana Soto – np lol it was a miniscule thing

Hobart Pao - 5 years, 2 months ago