Math, asked by priyankabhutra143, 10 months ago

if y= e^x-e^-x then Dy/dx-√y^2+4 is equal to​

Answers

Answered by Aishwarya1921
17

ZERO is the answer.

y =  {e}^{x}  -  {e}^{ - x}  \\  \frac{dy}{dx}  =  {e}^{x}  +  {e}^{ - x} \\ \frac{dy}{dx}  -  \sqrt{( {y}^{2}  - 4)}  \\  {e}^{x}  -  {e}^{ - x}  -  \sqrt{( { {e}^{x} -  {e}^{ - x} )}^{2}  + 4}  \\  {e}^{x}  -  {e}^{ - x}  -  \sqrt{  {  ( { {e}^{x} })^{2}   +  ({e}^{ - x}) }^{2}    - 2 + 4  }  \\  {e}^{x}  -  {e}^{ - x}  -   \sqrt{ { {(e}^{x} +  {e}^{ - x} ) }^{2} }  \\ 0

Hope this helps you.

Answered by nehu215
2

Step-by-step explanation:

hope the attached pic help uhh....

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