Calculate the first, second, and third derivatives of 𝑦(𝑥)=6√x.

Question

𝑦′(𝑥)=

𝑦″(𝑥)=

𝑦‴(𝑥)=

Answer 1

f(x) = 6x^1/2

f'(x) = ? Use the Power Rule

Answer 2

𝑦′(𝑥) = see here: https://www.mathway.com/popular-problems/Calculus/507233

𝑦′(𝑥) = - 3 / (2x^3/2)

𝑦‴(𝑥) = 9/ (4x^5/2)