I need help in setting up on how to find the derivative for these problems
1. f(x) = 4e^x / x^3
2. y = (r^2 - 8r)*e^r
1. f(x) = 4e^x / x^3
2. y = (r^2 - 8r)*e^r
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Not sure what you mean by setting up the problems. They are already set up. You just need to apply the quotient rule to the first one and the product rule to the second one.
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1. f(x) = 4e^x / x^3
f(x) = (4e^x) (x^-3)
f'(x) = 4 (e^x * x^-3 - 3 e^x * x^-4)
f'(x) = (4 x e^x - 12 e^x) / x^4
2. y = (r^2 - 8r)*e^r
y = r^2 * e^r - 8r * e^r
dy/dr = 2r * e^r + r^2 * e^r - 8 e^r - 8r * e^r
f(x) = (4e^x) (x^-3)
f'(x) = 4 (e^x * x^-3 - 3 e^x * x^-4)
f'(x) = (4 x e^x - 12 e^x) / x^4
2. y = (r^2 - 8r)*e^r
y = r^2 * e^r - 8r * e^r
dy/dr = 2r * e^r + r^2 * e^r - 8 e^r - 8r * e^r