Final answer:
The formula for the nth derivative of f(x)=5eˣ is 5eˣ.
Step-by-step explanation:
To find the formula for the nth derivative of f(x)=5eˣ, we can use the power rule. The power rule states that if f(x)=xⁿ, then the nth derivative of f(x) is given by f(n)(x)=n(n-1)(n-2)...(n-k+1)xⁿ⁻ᵏ. In this case, since f(x)=5eˣ, the nth derivative will be f(n)(x)=5eˣ. Therefore, the formula for the nth derivative of f(x)=5eˣ is 5eˣ.