What is the derivative of 5e^x-b ?

The derivative of 5e^x-b is 5e^x

What is the first derivative of 5e^x-b ?

The first derivative of 5e^x-b is 5e^x

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

5 e^{x}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= 5 e^{x} - 0

Simplify

= 5 e^{x}