What is the derivative of 3xe^{-x}-2x ?

The derivative of 3xe^{-x}-2x is 3(e^{-x}-e^{-x}x)-2

What is the first derivative of 3xe^{-x}-2x ?

The first derivative of 3xe^{-x}-2x is 3(e^{-x}-e^{-x}x)-2

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\frac{d}{d x} (3 x e^{- x} - 2 x)

3 (e^{- x} - e^{- x} x) - 2

Solution steps

\frac{d}{d x} (3 x e^{- x} - 2 x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (3 x e^{- x}) - \frac{d}{d x} (2 x)

\frac{d}{d x} (3 x e^{- x}) = 3 (e^{- x} - e^{- x} x)

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

= 3 (e^{- x} - e^{- x} x) - 2

\frac{d}{d x} (2 x + \frac{18}{x} + 1)

\int (2 x^{\frac{1}{2}}) d x

\int sin (x) x^{2} d x

y^{^{''}} - (\frac{6}{x}) y^{^{'}} - (\frac{8}{x ^{2}}) y = 0

\int cos^{2} (6 x) d x

What is the derivative of 3xe^{-x}-2x ?
The derivative of 3xe^{-x}-2x is 3(e^{-x}-e^{-x}x)-2
What is the first derivative of 3xe^{-x}-2x ?
The first derivative of 3xe^{-x}-2x is 3(e^{-x}-e^{-x}x)-2