Final answer:
The correct method for finding the derivative of an integral is related to the fundamental theorem of calculus, although this specific technique isn't listed in the options. However, if the context involves a polynomial function, the power rule from calculus is generally used.
Step-by-step explanation:
The correct way to find the derivative of a given integral directly is by using the fundamental theorem of calculus, which doesn't explicitly appear in the options provided. However, in the context of calculating derivatives, the power rule (Option 1) is often used when differentiating polynomial functions. Equation 3.7 presumably refers to the power rule where you bring down the exponent as a coefficient and decrease the exponent by one. If the integral is the antiderivative of a function, then its derivative would simply be the original function, a concept related to the fundamental theorem of calculus, not explicitly one of the four rules cited but is usually associated with the power of differentiation. It's worth noting that the chain rule, product rule, and quotient rule are used in more complex situations involving compositions of functions, products of functions, and quotients of functions, respectively.