Identifying Slope at a Point
Help Questions
Math › Identifying Slope at a Point
Questions 1 - 1
1
Find the slope of the line tangent to the -intercept of the parabola:
Explanation
To find the slope of a line tangent to a parabola at a specific point, find the derivative of the parabola's equation, then substitute the -coordinate of the specific point in the new equation.
In this case, it helps to expand the equation before taking the derivative:
Now take the derivative of the expanded equation:
Since the -intercept is the point where the
-coordinate is
, substitute
into the equation for
.