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Popular >

expand derivative of (x-3e^x)-(x+1)e^{-x}

Solution

expand

\frac{d}{d x} ((x - 3) e^{x}) - (x + 1) e^{- x}

Solution

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

Solution steps

\frac{d}{d x} ((x - 3) e^{x}) - (x + 1) e^{- x}

= \frac{d}{d x} (e^{x} (x - 3)) - e^{- x} (x + 1)

Expand

- e^{- x} (x + 1) : - e^{- x} x - e^{- x}

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

Expand

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

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

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Frequently Asked Questions (FAQ)

What is expand derivative of (x-3e^x)-(x+1)e^{-x} ?
The solution to expand derivative of (x-3e^x)-(x+1)e^{-x} is derivative of e^xx-3e^x-e^{-x}x-e^{-x}