What is the derivative of x+3y ?

The derivative of x+3y is 1+3(dy)/(dx)

What is the first derivative of x+3y ?

The first derivative of x+3y is 1+3(dy)/(dx)

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

1 + 3 \frac{d y}{d x}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (3 y) = 3 \frac{d y}{d x}

= 1 + 3 \frac{d y}{d x}

\int (\frac{x ^{5} + x ^{2} - x + 5}{x}) d x

(2, - 4), (5, 8)

\frac{\partial}{\partial y} (x^{2} - x y + 9 y^{2})

x sin (\frac{6}{x})

\frac{\partial}{\partial x} (9 e^{x y})

What is the derivative of x+3y ?
The derivative of x+3y is 1+3(dy)/(dx)
What is the first derivative of x+3y ?
The first derivative of x+3y is 1+3(dy)/(dx)