All parts of this problem refer to the function below. y=(8 + 7x)^(4/x)
a) Use logarithmic differentiation to find
(dy)/(dx)
b) Find the slope of the tangent line at x = 1.
Slope
c) Find the equation of the tangent line at x = 1.
y

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)

whose power in the senate is equal to the power of the speaker of the house?

step-by-step explanation: