What is the derivative of x+sqrt(xy) ?

The derivative of x+sqrt(xy) is 1+(y+x\frac{dy)/(dx)}{2sqrt(xy)}

What is the first derivative of x+sqrt(xy) ?

The first derivative of x+sqrt(xy) is 1+(y+x\frac{dy)/(dx)}{2sqrt(xy)}

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

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

n = 1 \sum \infty \frac{5}{n + 1}

\int_{0}^{1} (3 t - 1)^{50} d t

x \to \infty lim (\frac{x}{4})

x \to 0 lim (\frac{x}{x ^{2} - 3 x})

\frac{\partial}{\partial y} (\frac{7 y}{x ^{5}})

What is the derivative of x+sqrt(xy) ?
The derivative of x+sqrt(xy) is 1+(y+x\frac{dy)/(dx)}{2sqrt(xy)}
What is the first derivative of x+sqrt(xy) ?
The first derivative of x+sqrt(xy) is 1+(y+x\frac{dy)/(dx)}{2sqrt(xy)}