How do you differentiate $(2^x)x^2$ ?

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Answer 1 · 2016-03-19T16:43:57

The derivative is $x 2^x(2+x ln2 )$

Use $a^x=e^(x ln a)$ .

The function is $e^(x ln 2)x^2$ .

Apply product rule for differentiation.

The derivative is

$ln2e^(x ln2)x^2 + e^(x ln 2)2x$

= $xe^(x ln 2)(2+x ln 2)$

= $x 2^x(2+x ln2 )$

How do you differentiate (2^x)x^2(2^x)x^2?