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,

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

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