Question

Differentiation of y=3x+2 e.r.t. x=

Answer 1

when we differentiate a standard function kx then derivative is K, so from this derivative of 3x is 3 and derivative of constant is always zero therefor derivative of 2 is zero .

Answer 2

$\frac{dy}{dx} = \frac{d(3x)}{dx} + \frac{d(2)}{dx} \\ \\ = 3. \frac{d(x)}{dx} + 0 \\ \\ = 3(1) + 0 = 3 \\ \\ \\ ( \frac{d(x {}^{n}) }{dx} = n(x {}^{n - 1} )$