use logarithmic differentiation to find dy/dx y= ((x+2)sqrt(1-x^2))/4x^3

Question

3 years ago

8

use logarithmic differentiation to find dy/dx y= ((x+2)sqrt(1-x^2))/4x^3

%20%5Csqrt%281-x%5E2%29%29%2F4x%5E3" id="TexFormula1" title="y= ((x+2) \sqrt(1-x^2))/4x^3" alt="y= ((x+2) \sqrt(1-x^2))/4x^3" align="absmiddle" class="latex-formula">

Mathematics

1 answer:

Serggg [28] · Answer 1 · 2022-03-15T11:41:17+03:00

Serggg [28]3 years ago

5 0

Answer: dy/dx = (x+2)(x^3-3/2(1-x^2)^1/2 x)+(1-x^2)^1/2/2x^3/2

Step-by-step explanation: Differentiate each term with respect to x, then solve for y.

I hope this helps you out!