Question

What is the relationship between a derivative and an integral?

Answer 1

integration is reverse process of differentiation or derivative

Explanation:

for example derivative of x^2 is 2x and integral of 2x is x^2

Answer 2

Explanation:

Derivative is the product of the differentiation of a function while integral is the product of the integration of a function. Differentiation and integration are basic operations in calculus. Integration is the reverse of differentiation. This means that integration can be used to find the initial function when the derivative of the initial function is given.

Geometrically, derivative of a function is slope of the curve of the function while integral of a function is the area under the curve of a function.