What is the derivative of x+2y ?

The derivative of x+2y is 1+2(dy)/(dx)

What is the first derivative of x+2y ?

The first derivative of x+2y is 1+2(dy)/(dx)

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

1 + 2 \frac{d y}{d x}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d x}{d x} = 1

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

= 1 + 2 \frac{d y}{d x}

What is the derivative of x+2y ?
The derivative of x+2y is 1+2(dy)/(dx)
What is the first derivative of x+2y ?
The first derivative of x+2y is 1+2(dy)/(dx)