Answer:
Explanation:
The derivative of a function y = f(x) at the point a is a measure of the rate of change of the function at that point. It is represented by the symbol f'(a) or df/dx.
The derivative can be thought of as the slope of the tangent line to the curve of the function at the point a. It is calculated using the limit definition of the derivative, which states that the derivative of a function at a point is the limit of the difference quotient as the difference between x and a approaches zero.
In other words, the derivative of a function y = f(x) at the point a is the slope of the line that is tangent to the function at that point, and it is calculated using the following formula:
f'(a) = lim(h -> 0) [(f(a+h) - f(a)) / h]
This formula can be used to calculate the derivative of any function at any point. I hope this helps! Let me know if you have any questions.