Is it possible to take the derivative of a definite integral? I guess if we have an indefinite one, like: , taking its derivative, we would get , right?
seld, you meant definite integral right? (not indefinite).
Yes, because indefinte integrals can be written as a function of x provided that one of the limits of integration is constant and the other is some x. But a definite integral is a number, and as hallsofivy said, the derivative of a number is always zero.
Is it possible to take the derivative of a definite integral? I guess if we have an indefinite one, like: , taking its derivative, we would get , right?
What if we had ?
is a definite integral.
A definite integral is a number. What is the derivative of a number?