Question

differentiate y= e raise to tanx​

Answer 1

Step-by-step explanation:

y = e^(tan x)

applying log on both sides

log y = log(e^(tan x)

log y = tan x*log e (log e =1)

log y = tan x

differentiate with respect to x

d(log y)/dx = d(tan x)/dx

(1/y)*(dy/dx) = sec² x

dy/dx = y*sec²x

dy/dx=ysec²x

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