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)

t an g e n t f (x) = 2 x^{2} + 3 x, (- 3, 9)

\frac{d}{d x} ((x^{3} - 1)^{4})

\frac{\partial}{\partial x} (11 - 4 x^{2} - y^{2})

\frac{\partial}{\partial x} (2 x^{3} y^{2} cos (6 x^{3} y))

\int \frac{7}{sec ( x ) - 1} 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)