What is the derivative of 3x^2+xy+2x+y ?

The derivative of 3x^2+xy+2x+y is 6x+y+x(dy)/(dx)+2+(dy)/(dx)

What is the first derivative of 3x^2+xy+2x+y ?

The first derivative of 3x^2+xy+2x+y is 6x+y+x(dy)/(dx)+2+(dy)/(dx)

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\frac{d}{d x} (3 x^{2} + x y + 2 x + y)

6 x + y + x \frac{d y}{d x} + 2 + \frac{d y}{d x}

Solution steps

\frac{d}{d x} (3 x^{2} + x y + 2 x + y)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (3 x^{2}) + \frac{d}{d x} (x y) + \frac{d}{d x} (2 x) + \frac{d y}{d x}

\frac{d}{d x} (3 x^{2}) = 6 x

\frac{d}{d x} (x y) = y + x \frac{d y}{d x}

\frac{d}{d x} (2 x) = 2

= 6 x + y + x \frac{d y}{d x} + 2 + \frac{d y}{d x}

cos (x), \frac{π}{2}

\frac{\partial}{\partial y} (x^{4} y - 3 x^{5} y^{2})

x \to 1 lim (x + 1)

\int x ln (3 x) d x

\frac{d}{d x} (x (x - 15)^{2})

What is the derivative of 3x^2+xy+2x+y ?
The derivative of 3x^2+xy+2x+y is 6x+y+x(dy)/(dx)+2+(dy)/(dx)
What is the first derivative of 3x^2+xy+2x+y ?
The first derivative of 3x^2+xy+2x+y is 6x+y+x(dy)/(dx)+2+(dy)/(dx)