Dick said:
The fundamental theorem of calculus part 1 states that the derivative of a function can be found by evaluating the function at the upper limit of integration and subtracting the value of the function at the lower limit of integration.
To use the fundamental theorem of calculus part 1 to find the derivative of a function, we first need to identify the function's upper and lower limits of integration. Then, we can evaluate the function at these limits and subtract the values to get the derivative.
The fundamental theorem of calculus part 1 can only be used if the function is continuous on the interval of integration and if the function has an antiderivative on that interval.
No, the fundamental theorem of calculus part 1 can only be used for functions that meet the requirements mentioned above. For example, it cannot be used for functions with discontinuities or with no antiderivative.
Yes, the fundamental theorem of calculus part 1 is closely related to the concept of the definite integral, which represents the area under a curve. It also connects to the concept of the derivative as the rate of change of a function.