Question:
differentiate a^x w.r.t x, where a is a positive constant. pls expain in step process how it happened
Answer:
Let y = ax
Taking log on both side, we get
log y = x*log a
Differentiate w.r.t. x, we get
(1/y) * dy/dx = log a
=> dy/dx = y * log a
=> dy/dx = ax * log a
So, the differentiation of ax w.r.t. x is ax * log a
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