What is the derivative of-xy ?

The derivative of-xy is -y-x(dy)/(dx)

What is the first derivative of-xy ?

The first derivative of-xy is -y-x(dy)/(dx)

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

- y - x \frac{d y}{d x}

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x, g = y

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

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

= - (1 \cdot y + \frac{d y}{d x} x)

Simplify

- (1 \cdot y + \frac{d y}{d x} x) : - y - x \frac{d y}{d x}

= - y - x \frac{d y}{d x}

y = e^{4 c o s (x)}

\int e^{x} + \frac{1}{x} d x

f (x) = sin (cos (x))

\int \frac{3}{x ^{2} + 2} d x

\int 18 sec^{4} (x) d x

What is the derivative of-xy ?
The derivative of-xy is -y-x(dy)/(dx)
What is the first derivative of-xy ?
The first derivative of-xy is -y-x(dy)/(dx)