Question

pls help me class 11 physics..
no irrelevant answers plz....​

Answer 1

Answer:

Question 1)

$y = { (\sqrt{x} + \dfrac{1}{ \sqrt{x} } )}^{2}$

$= > y = x + \dfrac{1}{x} + (2 \times \sqrt{x} \times \dfrac{1}{ \sqrt{x} } )$

$= > y = x + \dfrac{1}{x} + 2$

$= > \dfrac{dy}{dx} = \dfrac{d(x)}{dx} + \dfrac{d {(x}^{ - 1} )}{dx} + 0$

$= > \dfrac{dy}{dx} = 1 - \dfrac{1}{ {x}^{2} }$

Question 2)

$y = a {x}^{2} + bx + c$

$= > \dfrac{dy}{dx} = a \dfrac{d {(x)}^{2} }{dx} + b \dfrac{d(x)}{dx} + 0$

$= > \dfrac{dy}{dx} = 2ax + b$

Basic formulas used are :

$\bigstar \: \: y = {x}^{n}$

$= > \dfrac{dy}{dx} = n {x}^{(n - 1)}$