What is the derivative of Cxe^{-x} ?

The derivative of Cxe^{-x} is C(e^{-x}-e^{-x}x)

What is the first derivative of Cxe^{-x} ?

The first derivative of Cxe^{-x} is C(e^{-x}-e^{-x}x)

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

C (e^{- x} - e^{- x} x)

Solution steps

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

Treat

C

as a constant

Take the constant out:

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

= C \frac{d}{d x} (x e^{- x})

Apply the Product Rule:

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

f = x, g = e^{- x}

= C (\frac{d x}{d x} e^{- x} + \frac{d}{d x} (e^{- x}) x)

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

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

= C (1 \cdot e^{- x} + (- e^{- x}) x)

Simplify

= C (e^{- x} - e^{- x} x)

\int - 16 cos (4 t + π) d t

\frac{d}{d x} ((x - 2)^{x + 1})

(y^{- 2})^{^{'}}

\frac{\partial}{\partial x} (x^{6} y - 2 x^{3} y^{2})

y = x + 4, y = x^{2} + x - 12

What is the derivative of Cxe^{-x} ?
The derivative of Cxe^{-x} is C(e^{-x}-e^{-x}x)
What is the first derivative of Cxe^{-x} ?
The first derivative of Cxe^{-x} is C(e^{-x}-e^{-x}x)