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Popular >

derivative of 3x^2+xy+2x+y

Solution

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

Solution

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}

Popular Examples

taylor cos(x), pi/2 taylor

cos (x), \frac{π}{2}

(\partial)/(\partial y)(x^4y-3x^5y^2)

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

limit as x approaches 1 of x+1

x \to 1 lim (x + 1)

integral of xln(3x)

\int x ln (3 x) d x

derivative of x(x-15^2)

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

Frequently Asked Questions (FAQ)

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)