What is (\partial)/(\partial x)(1+e^{2x}) ?

The answer to (\partial)/(\partial x)(1+e^{2x}) is 2e^{2x}

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(\partial)/(\partial x)(1+e^{2x})

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

2 e^{2 x}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

\frac{\partial}{\partial x} (e^{2 x}) = e^{2 x} \cdot 2

= 0 + e^{2 x} \cdot 2

Simplify

= 2 e^{2 x}

\int_{- 1}^{3} (t + 2) (t^{2} - 2 t + 4) d t

e^{- x}, 0.25

\frac{\partial}{\partial x} (x^{2} + y^{2} - 2 x - 2 y)

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

f (x) = e^{4 x}, at x = \frac{1}{4} ln (5)

What is (\partial)/(\partial x)(1+e^{2x}) ?
The answer to (\partial)/(\partial x)(1+e^{2x}) is 2e^{2x}