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if f(x)=kx, f'(x)=ln(k)*kx. Therefore, the derivative of 2x is ln(2)*2x.

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Q: What is the derivative of 2 to the power of x?
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What is the derivative of x raised to the 1 plus square root of 2?

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The first derivative of e to the x power is e to the power of x.


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