Question

Whats the derivative of e^(x^1/2)

Answer 1

using chain rule you take the derivative of the outer function, keep the inner function and the multiply it by the derivative of the inner function
so derivative of outer = e^(x^(1/2))
derivative of innner = 1/2x^(-1/2)
so your answer is those 2 multiplied together

Answer 2

\[\begin{array}{rcl}
y = e^{\sqrt{x}} \\
\ln(y)=\sqrt{x}
\end{array}
\]

Answer 3

\[
(\ln(y))' = \frac{y'}{y}
\]

Answer 4

\[
(\sqrt{x})'=(x^{1/2})'=\frac{1}{2}x^{-1/2} = \frac{1}{2\sqrt{x}}
\]

Answer 5

thank u so much!

Answer 6

np glad to help