Question

How to find derivative of a function at a given point?

Answer 1

Fill in the point values in the formula for the derivative.

____

Example

y = x^2 + 3x . . . . . we want y' at (x, y) = (1, 4)

y' = 2x +3 . . . . . . . take the derivative dy/dx of the function

Fill in the value x=1 ...

y' = 2·1 +3 = 5

The value of the derivative at (x, y) = (1, 4) is 5.