Question

۔
مهم
d/dx e^e^x find d/dx=?​

Answer 1

Answer:

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

Step-by-step explanation:

d/dx ($e^{e^{x} }$)

Let eˣ = u

⇒ d/dx ($e^{u}$)

⇒ $e^{u}$· du/dx

⇒ $e^{u}$ · d/dx ($e^{x}$)

⇒ $e^{u}$ · $e^{x}$

[$a^{m} * a^{n} = a^{m+n}$]

⇒ $e^{u+x}$

As u = $e^{x}$,

⇒ $e^{(e^{x} + x)}$

Hoping that I have not made any mistakes, You're welcome.

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GeniusH