Question

If y = 2x² + a² + 2² then `dy/dx` = ______.

Options

• 4x

• 4x + 2a

• 4x + 4

• 2x

• −2x

Answer 1

If y = 2x² + a² + 2² then `dy/dx` = 4x.

Explanation:

y = 2x² + a² + 2²

Differentiate w.r.t. x we get,

`dy/dx = d/dx(2x^2 + a^2 + 2^2)`

∴ `dy/dx = 4x + 0 + 0`

∴ `dy/dx = 4x`