Question

if y =x^2 , then dy/dx is equal to

(I) 2x^2
(2) x^3/3
(3)2x
(4)x^3​

Answer 1

Answer:

(3) 2x

Explanation:

Derivative of y = xⁿ with respect to x is nxⁿ⁻¹

Thus, dy/dx=2x

Answer 2

$\orange{ \boxed{\boxed{\begin{array}{cc} \rm \to \: we \: know \: that \\ \\ \odot \rm \: \frac{d \: \: a {x}^{n} }{dx} = a \: n \: {x}^{n - 1} \\ \\ \bf \: given \\ \\ \rm \: y = {x}^{2} \\ \\ \rm \implies\: \frac{dy}{dx} = \frac{d \: \: {x}^{2} }{dx} \\ \\ \rm \implies\: \frac{dy}{dx} = 2 \times {x}^{2 - 1} \\ \\ \rm \implies\: \frac{dy}{dx} = 2 x \end{array}}}}$

So option (3) 2x is the correct answer