Question

class 11th differentiate y = 1/x^2 , then dy / dx = ??​

Answer 1

for differentiation we can use nx^n-1

we can write y as x^-2

so now ur answer is

-2x^-2-1

-2x^-3

hope this helps u.

Answer 2

$y = \frac{1}{ {x}^{2} } = {x}^{ - 2} \\ \\ \frac{dy}{dx} = \frac{d}{dx} \bigg( \frac{1}{ {x}^{2} } \bigg) \\ \\ = \frac{d}{dx} \big( {x}^{ - 2} \big) \\ \\ = - 2 \times \big( {x}^{ - 3} \big) \\ \\ = - 2 {x}^{ - 3} \\ \\ = \frac{ - 2}{ {x}^{3} }$