Boldmadwarrior Boldmadwarrior

10-10-2020
Mathematics

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From definition ,find derivatives of [tex]a^{x}[/tex]

Respuesta :

Аноним Аноним

10-10-2020

Answer:

Step-by-step explanation:

d /d x [ a ^x ]

= d/ d x [ e ^ln ( a ) x ]

= e ^ln ( a ) x ⋅ d /d x [ ln ( a ) x ]

= e ^ln ( a ) x ⋅ ln ( a ) ⋅ d /d x [ x]

= e ^ln (a ) x ln ( a ) ⋅ 1

= ln ( a ) e ^ln ( a ) x

Rewrite/simplify:

= a ^x ln ( a )

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