y(s)= 1/(6(s^2)) - 5/s
Find Y'(s)
To find the derivative of y(s), denoted as y'(s), we can apply the power rule and the quotient rule.
First, let's rewrite the given function y(s) in a simpler form:
y(s) = 1/(6s^2) - 5/s
Now let's find the derivative of each term separately:
Derivative of the first term: 1/(6s^2)
Apply the power rule to the term 1/(6s^2):
d/ds (1/(6s^2)) = -2/(6s^3)
Derivative of the second term: -5/s
Apply the quotient rule to the term -5/s:
d/ds (-5/s) = (-5)(1/s^2) = -5/s^2
Now, to find the derivative of the entire function y(s), we add the derivatives of the individual terms:
y'(s) = -2/(6s^3) - 5/s^2
Therefore, the derivative of y(s) with respect to s, denoted as y'(s), is -2/(6s^3) - 5/s^2.