What is the derivative of-5e^{x+3}+e^1 ?

The derivative of-5e^{x+3}+e^1 is -5e^{x+3}

What is the first derivative of-5e^{x+3}+e^1 ?

The first derivative of-5e^{x+3}+e^1 is -5e^{x+3}

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derivative of

- 5 e^{x + 3} + e^{1}

- 5 e^{x + 3}

Solution steps

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

Simplify

- 5 e^{x + 3} + e^{1} : - 5 e^{x + 3} + e

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d e}{d x} = 0

= - 5 e^{x + 3} + 0

Simplify

= - 5 e^{x + 3}

\frac{\partial}{\partial x} (\frac{1}{2 π} (\frac{y}{x})^{\frac{1}{2}})

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

s (t) = \frac{1}{5} t^{4}

(7 - 3 x^{2})^{3}

\frac{d}{d x} (\frac{x + 36}{x})

What is the derivative of-5e^{x+3}+e^1 ?
The derivative of-5e^{x+3}+e^1 is -5e^{x+3}
What is the first derivative of-5e^{x+3}+e^1 ?
The first derivative of-5e^{x+3}+e^1 is -5e^{x+3}