MATH SOLVE

5 months ago

Q:
# Find a nonzero function such that f′(x)=4f(x)

Accepted Solution

A:

One nonzero function that satisfies fâ€˛(x)=4f(x) can be found by using the constant 'e' and its derivative rules. If we define f(x) = e^(4x), the first derivative f'(x) can be found via the chain rule to be 4*e^(4x) or the 4*f(x) as desired.