Question

If y = 3x2 + 2x then find dy/dx

Answer 1

dy/dx= 6x+2hope it is helpful

Answer 2

$\sf{y = 3x\² + 2x}$

$\displaystyle{\sf{\frac{dy}{dx}=\frac{d}{dx}(3x^2+2x) }}\\\\\displaystyle{\sf{=3.\frac{d}{dx}(x^2)+2.\frac{d}{dx}(x) }}\\\\\displaystyle{\sf{(Linear\ differentiation)}}\\\\\displaystyle{\sf{=3.2x+2.1}}\\\\\displaystyle{\sf{=6x+2}}$

$\rule{190}2$

◙ Linear differentiation :- [a.b(x) + c.d(y)]' = a.b'(x) + c.d'(x).

◙ Power rule :- (aˣ)' = x.aˣ⁻¹.

◙ Derivative of a variable is 1.