Boldmadwarrior Boldmadwarrior
  • 10-10-2020
  • Mathematics
contestada

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 )

Answer Link

Otras preguntas

a man invested a total of $3,000 in two investments. he made a profit of 3% on the first investment and 4% on the second investment. if his total profit was $10
Vivid writing includes ___ descriptions of things that can be seen, touched, heard, smelled, and tasted. A. sensuous B. tangent
What is 97.356 in base ten numerals
name the different parts of small intestine in proper sequence
What are future effects on society and business using computers?
Hydrangea plant's petals change to which colour on the addition of acids?
what are the end products of fat digestion
Vivid writing includes ___ descriptions of things that can be seen, touched, heard, smelled, and tasted. A. sensuous B. tangent
why food coming from stomach is to be made alkaline?
Hydrangea plant's petals change to which colour on the addition of acids?