What is the derivative of e^{e^x+x} ?

The derivative of e^{e^x+x} is e^{e^x+x}(e^x+1)

What is the first derivative of e^{e^x+x} ?

The first derivative of e^{e^x+x} is e^{e^x+x}(e^x+1)

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derivative of

e^{e^{x} + x}

e^{e^{x} + x} (e^{x} + 1)

Solution steps

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

Apply the chain rule:

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

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

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

= e^{e^{x} + x} (e^{x} + 1)

\frac{4}{2 x + 3}

\int \frac{x ^{3}}{5 x ^{2} + 3} d x

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\frac{\partial}{\partial x} ((3 x^{2} + 5 x + 1)^{\frac{3}{2}})

\int x \cdot \frac{5}{2} \cdot x^{2} + 7 d x

What is the derivative of e^{e^x+x} ?
The derivative of e^{e^x+x} is e^{e^x+x}(e^x+1)
What is the first derivative of e^{e^x+x} ?
The first derivative of e^{e^x+x} is e^{e^x+x}(e^x+1)