What is the derivative of 5xe^{-x}-3e^{x^2} ?

The derivative of 5xe^{-x}-3e^{x^2} is 5(e^{-x}-e^{-x}x)-6e^{x^2}x

What is the first derivative of 5xe^{-x}-3e^{x^2} ?

The first derivative of 5xe^{-x}-3e^{x^2} is 5(e^{-x}-e^{-x}x)-6e^{x^2}x

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derivative of

5 x e^{- x} - 3 e^{x^{2}}

5 (e^{- x} - e^{- x} x) - 6 e^{x^{2}} x

Solution steps

\frac{d}{d x} (5 x e^{- x} - 3 e^{x^{2}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (5 x e^{- x}) - \frac{d}{d x} (3 e^{x^{2}})

\frac{d}{d x} (5 x e^{- x}) = 5 (e^{- x} - e^{- x} x)

\frac{d}{d x} (3 e^{x^{2}}) = 6 e^{x^{2}} x

= 5 (e^{- x} - e^{- x} x) - 6 e^{x^{2}} x

x \to \infty lim (1 0^{x})

(6 x)^{5 x}

\frac{d}{d y} (- x^{2} y^{2} sin (x) + 2 x y^{2} cos (x))

\int \frac{x}{1 - x} d x

y^{^{'}} = 3 - y

What is the derivative of 5xe^{-x}-3e^{x^2} ?
The derivative of 5xe^{-x}-3e^{x^2} is 5(e^{-x}-e^{-x}x)-6e^{x^2}x
What is the first derivative of 5xe^{-x}-3e^{x^2} ?
The first derivative of 5xe^{-x}-3e^{x^2} is 5(e^{-x}-e^{-x}x)-6e^{x^2}x