What is the derivative of y=2e^x-e^{x+1}+e^{2/3}-5pi^2 ?

The derivative of y=2e^x-e^{x+1}+e^{2/3}-5pi^2 is 2e^x-e^{x+1}

What is the first derivative of y=2e^x-e^{x+1}+e^{2/3}-5pi^2 ?

The first derivative of y=2e^x-e^{x+1}+e^{2/3}-5pi^2 is 2e^x-e^{x+1}

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derivative of

y = 2 e^{x} - e^{x + 1} + e^{\frac{2}{3}} - 5 π^{2}

2 e^{x} - e^{x + 1}

Solution steps

\frac{d}{d x} (2 e^{x} - e^{x + 1} + e^{\frac{2}{3}} - 5 π^{2})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (2 e^{x}) - \frac{d}{d x} (e^{x + 1}) + \frac{d}{d x} (e^{\frac{2}{3}}) - \frac{d}{d x} (5 π^{2})

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

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

\frac{d}{d x} (e^{\frac{2}{3}}) = 0

\frac{d}{d x} (5 π^{2}) = 0

= 2 e^{x} - e^{x + 1} + 0 - 0

Simplify

= 2 e^{x} - e^{x + 1}

What is the derivative of y=2e^x-e^{x+1}+e^{2/3}-5pi^2 ?
The derivative of y=2e^x-e^{x+1}+e^{2/3}-5pi^2 is 2e^x-e^{x+1}
What is the first derivative of y=2e^x-e^{x+1}+e^{2/3}-5pi^2 ?
The first derivative of y=2e^x-e^{x+1}+e^{2/3}-5pi^2 is 2e^x-e^{x+1}