ddx( 2^x) = ? As we know that, ddx( a^x) = a^xlog( a ) Therefore, ddx( 2^x) = 2^x log( 2 ) Hence the correct answer is 2^x log2 . ...

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Inverse of a Function

d/dx2x=?

Question

$\frac{d}{d x} (2^{x}) = ?$

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Solution

$\frac{d}{d x} (2^{x}) = ?$
As we know that,
$\frac{d}{d x} (a^{x}) = a^{x} log (a)$
Therefore,
$\frac{d}{d x} (2^{x}) = 2^{x} log (2)$
Hence the correct answer is $2^{x} log 2$ .

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