Differentiate #y=e^(x^(1/2))#? Use the limit definition of differential coefficient only.

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Answer 1 · 2018-05-20T06:40:41

#dy/dx=(e^sqrtx)/(2sqrtx)#

#y=e^(x^(1/2))#

Differentiate,

#dy/dx=d/dx(x^(1/2))*e^(x^(1/2))#

Differentiate the inner term,

#dy/dx=1/2x^(-1/2)*e^(x^(1/2))#

Simplify,

#dy/dx=1/2x^(-1/2)*e^(x^(1/2))#

Refine,

#dy/dx=(e^sqrtx)/(2sqrtx)#