What is the derivative of 3x-e^x ?

The derivative of 3x-e^x is 3-e^x

What is the first derivative of 3x-e^x ?

The first derivative of 3x-e^x is 3-e^x

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

3 - e^{x}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (3 x) = 3

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

= 3 - e^{x}

What is the derivative of 3x-e^x ?
The derivative of 3x-e^x is 3-e^x
What is the first derivative of 3x-e^x ?
The first derivative of 3x-e^x is 3-e^x