Question

diffirentition :y=(2x*2+3)*4​

Answer 1

y = (2x² + 3)⁴

Applying chain rule,

Differentiate with respect to 2x² + 3 first, and then differentiate 2x² + 3 with respect to x and multiply them.

Differentiating y with respect to 2x² + 3, we get 4(2x² + 3)³

Differentiating 2x² + 3 with respect to x, we get 4x

Hence, dy/dx = 4(2x² + 3)³ × 4x

= 16x(2x² + 3)³

Answer 2

Answer:

$\frac{dy}{dx} = \frac{d}{dx} ( {2x}^{2} + 3)^{4}$

$= 4( {2x}^{2} + 3)^{3} (2 \times 2x + 0)$

$= 4 \times 4x \times ( {2x}^{2} + 3)^{3}$

$= 16x {( {2x}^{2} + 3) }^{3}$

Hope you got your answer

Take care