Find the differential of each function.

a. y = s / ( 1 + 5s )
b. y = e^-u Cos U

To find the differentials, we must derivate:

a) y = s/(1 + 5s)

remember that when we have a function:

f(x) = h(x)*g(x)

we have that the differentiation rule is:

f'(x) = h'(x)*g(x) + h(x)*g'(x)

using this rule, we have:

Then te differential is:

b) now the function is:

y = e^(-u)*cos(u)

We use the same rule as before for the derivation:

Then we have:

n

step-by-step explanation:

answer

the correct answer is

explanation

the given function is

the excluded values are obtained by solving:

we factor to obtain:

the excluded values are