What is the derivative of 5e^x+3 ?

The derivative of 5e^x+3 is 5e^x

What is the first derivative of 5e^x+3 ?

The first derivative of 5e^x+3 is 5e^x

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

5 e^{x}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (3) = 0

= 5 e^{x} + 0

Simplify

= 5 e^{x}

\frac{d}{d x} ((x^{2} + 4) e^{- 2 x})

(x^{2} - 1) (\frac{d y}{d x}) = 2 y

x - y^{2} = 0, x + 2 y^{2} = 3

\frac{\partial}{\partial x} (x^{2} y^{2} z^{2})

f (x) = 7 x + 4, (3, 5)