Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the outer function y = f(u).] y = (1 + 8x)^(1/2) (g(x), f(u)) = (1 + 7x, u^1/3)Find the derivative dy/dx. dy/dx = .

By the chain rule, you have

dy/dx = dy/du * du/dx

For the function y = f(x) = (1 + 8x)^(1/2), you're taking

y = u ^(1/2)

u = 1 + 8x

These have derivatives

dy/du = 1/2 u ^(-1/2)

du/dx = 8

which means

dy/dx = 4u ^(-1/2) = 4 (1 + 8x)^(-1/2)

answer: if you weigh 60 pounds on earth, on the moon you will weigh about 10 pounds. if you weigh 120 pounds on earth, you will weigh about 20 pounds on the moon. since weight is caused by the mass of two objects that are near each other, the bigger the objects, the more the force of gravity.

step-by-step explanation: if you weigh 60 pounds on earth, on the moon you will weigh about 10 pounds. if you weigh 120 pounds on earth, you will weigh about 20 pounds on the moon. since weight is caused by the mass of two objects that are near each other, the bigger the objects, the more the force of gravity.

20%

step-by-step explanation: