Question

can you help me find the first derivative of y=square root of cos(X) + cox (square root of x) ?

Answer 1

\(\sqrt{cos{x}}+cos{\sqrt{x}}\)
?

Answer 2

I never remember the rule for deriving square roots, so instead I tend to rewrite roots as exponent and then just use exponent rule.

\((cos{x})^{\frac{1}{2}} + cos{(x^{\frac{1}{2}})}\)
Use chain rule, exponent rule, and the rule for derivative of cosine.