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Differentiate the following w.r.t. x: e^...

Differentiate the following w.r.t. x:
`e^(x^3)`

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AI Generated Solution

To differentiate the function \( e^{x^3} \) with respect to \( x \), we will use the chain rule of differentiation. Here’s the step-by-step solution: ### Step 1: Identify the outer and inner functions We can identify the outer function as \( g(t) = e^t \) where \( t = x^3 \) (the inner function). ### Step 2: Differentiate the outer function The derivative of \( g(t) = e^t \) with respect to \( t \) is: \[ ...
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