Madhava of Sangamagrama, who lived in the 14th century, is widely regarded as the father of Indian calculus.

Madhava of Sangamagrama developed the Madhava series, which is a series expansion of trigonometric functions.

Nilakantha Somayaji, who lived in the 15th century, discovered the concept of the derivative.

Indian mathematicians developed the exhaustion method for finding the area of a circle.

Bhaskara II, who lived in the 12th century, developed the concept of the integral.

The fundamental theorem of calculus states that the area under a curve can be found by integrating the function that defines the curve.

Jyesthadeva, who lived in the 16th century, developed the concept of the differential.

Indian mathematicians developed the method of exhaustion for finding the volume of a solid.

Bhaskara II, who lived in the 12th century, developed the concept of the limit.

The tangent line theorem states that the derivative of a function is equal to the slope of the tangent line to the graph of the function at a given point.

Rolle, who lived in the 17th century, developed the concept of the Rolle's theorem.

The mean value theorem states that if a function is continuous on a closed interval and differentiable on the open interval, then there exists a point in the open interval where the derivative is equal to the average rate of change of the function on the closed interval.

Leibniz, who lived in the 17th century, developed the concept of the chain rule.

The product rule states that the derivative of the product of two functions is equal to the first function times the derivative of the second function plus the second function times the derivative of the first function.