The derivative of ( sqrt(x)) with respect to x is : Option 1: ((x)) ((x)) ^2 sqrt(x)2sqrt(x) Option 2: ^2((x)) Option 3: ((x)) ((x)) ^2 sqrt(x)x Option 4: ^2( x^1/3)

The answer is '((x)) ((x)) ^2 sqrt(x)2sqrt(x)'. View full solution:

CUET Mathematics - The derivative of ( sqrt(x)) with respect to x is : | PYQs + Solutions

CUET Mathematics 2023 30 May Shift 3

Calculus

Medium

$\frac{\sec(\tan\sqrt{x}) \tan(\tan\sqrt{x}) \sec^2 \sqrt{x}}{2\sqrt{x}}$

$\sec^2(\tan\sqrt{x})$

$\frac{\sec(\tan\sqrt{x}) \tan(\tan\sqrt{x}) \sec^2 \sqrt{x}}{x}$

$\sec^2(\tan x^{1/3})$

✅ Correct Option: 1