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The power rule is used to find the slope of polynomial functions and any other function that contains an exponent with a real number. 4.10.1 Find the general antiderivative of a given function. 4.10. A brief overview of the basic rules for exponents or powers. This new equation for power reveals that a powerful machine is both strong (big force) and fast (big velocity). A powerful car engine is strong and fast. This is the simplest formula for powers. 5. Example. Here R stands for resistance, V stands for potential difference and I stands for current. Since the derivative of a constant is 0, indefinite integrals are defined only up to an arbitrary constant.