Differentiating functions of other bases in exercise, find the derivative of the function.
y = 8^x^3

dy/dx=3 ln ( 8 )* x^ 2 ⋅*8 x^ 3

Step-by-step explanation:

if y=8^x^3==>y=8^(x^(3))

Then Dy/Dx= 8^x^3 *(8^x^3)' *(x^3)'=3 ln ( 8 )* x^ 2 ⋅*8 x^ 3

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )