What is the first derivative of xcox ?

The first derivative of xcox is 2cxo

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derivative of xcox

\frac{d}{d x} (x co x)

2 c x o

Solution steps

\frac{d}{d x} (x co x)

Simplify

x co x : c x^{2} o

= \frac{d}{d x} (c x^{2} o)

Treat

c, o

as a constant

Take the constant out:

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

= co \frac{d}{d x} (x^{2})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= co \cdot 2 x^{2 - 1}

Simplify

= 2 c x o

\int 2 x y z^{2} e^{x^{2}} d x

\int (4 x^{3} + 1)^{4} 12 x^{2} d x

\frac{d}{d x} (e^{- x^{8}})

\frac{\partial}{\partial x} (sin (\frac{x + y}{x - y}))

x^{3} - 12 x^{2} + 27 x, - x^{3} + 12 x^{2} - 27 x