What is the derivative of 1+2e^x ?

The derivative of 1+2e^x is 2e^x

What is the first derivative of 1+2e^x ?

The first derivative of 1+2e^x is 2e^x

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\frac{d}{d x} (1 + 2 e^{x})

2 e^{x}

Solution steps

\frac{d}{d x} (1 + 2 e^{x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (1) + \frac{d}{d x} (2 e^{x})

\frac{d}{d x} (1) = 0

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

= 0 + 2 e^{x}

Simplify

= 2 e^{x}

f (x) = e^{x^{4}}

\frac{\partial}{\partial x} (\frac{1}{x + y + z})

\int \frac{1}{x ^{4} x ^{2} + 4} d x

(x - 3)^{- 2}

y^{^{'}} = - y (1 + x y^{2})