What is the first derivative of-8xy ?

The first derivative of-8xy is -8y

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derivative of-8xy

derivative of

- 8 x y

- 8 y

Solution steps

\frac{d}{d x} (- 8 x y)

Treat

y

as a constant

Take the constant out:

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

= - 8 y \frac{d x}{d x}

Apply the common derivative:

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

= - 8 y \cdot 1

Simplify

= - 8 y

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

(- 7, - 4), (- 11, - 2)

y^{^{'}} = \frac{( x ^{2} - y ^{2} )}{x y}, y (2) = 3

y = sin (π - x)

f (x) = 7 x - 17, at x = 3