What is the derivative of e^ square root x???

Answer 1

Its half the value of e^ square root x

Answer 2

derivative of e^ square root x =
[derivative of (e^ square root x) wrt square root of x]
*[derivative of square root of x with respect to x] =
[(e^ square root x)]*[1/(2(square root of x))]

Answer 3

Let sqrt x be denoted by u.

d/dx (e^u)= du/dx(e^u)
therefore
e^sqrt x = [d/dx(sqrt x)] (e^ sqrt x)
= sqrt x/ 2x (e^sqrt x)

Answer 4

y = e^√x Remember d/dx e^u = e^u d/dx(u) so
dy/dx = (e^√x)/(2√x)

HTH

Doug