Question

Find the derivative of the given function

Answer 1

f(x)= Root (x^2 +1)/Root (x^2-1)

Answer 2

Flip the numerator with the denominator

Answer 3

\[\frac{ d(\frac{ u }{ v }) }{ dx }=\frac{ v*\frac{ du }{ dx } -u*\frac{*dv}{ dx }}{ v^2 }\]

Answer 4

use this

Answer 5

how would you use that formula in this question?

Answer 6

u=numerator
v=denominator

Answer 7

\[\frac{ df(x) }{ dx }=\frac{ \sqrt{x^2-1}*\frac{ d \sqrt{x^2+1} }{ dx } -\sqrt{x^2+1}*\frac{ d \sqrt{x^2-1}}{ dx }}{(\sqrt{x^-1} )^2}\]

Answer 8

can u do it now ??

Answer 9

sorry
\[denominator=(\sqrt{x^2-1})^2\]

Answer 10

\[\frac{ d \sqrt{x^2+1} }{ dx }=\frac{1 }{ 2*\sqrt{x^2+1 }}* x\]

Answer 11

is that the final answer?

Answer 12

should just be x/(sqrt(x^2+1))

Answer 13

can you explain how?

Answer 14

the derivative of (x^2+1)^1/2 is (1/2)(x^2+1)^(-1/2) using the power rule
but then we need to use the chain rule and multiply this by the derivative of x^2+1 which is 2x

Answer 15

by chance can you explain using the equations?

Answer 16

@Astefank If you are in a calculus class, you should have studied algebra. Don't forget your algebra. Why are you asking for algebra help? Something very odd about that.

@dwizz Don't post without showing your work. Where did you go?