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Formally it is a line which intersects a differentiable curve at a point where the slope of the curve equals the slope of the line.
Slope of the tangent line math. A line tangent to a circle is perpendicular to the radius to the point of tangency. You can see that the slope of the parabola at 7 9 equals 3 the slope of the tangent line. Find the slope of the tangent line at x 1 f x 2x 2 3x x 1 mathway. If y f x is the equation of the curve then f x will be its slope.
But you can t calculate that slope with the algebra slope formula because no matter what other point on the parabola you use with 7 0 to plug into the formula you ll get a slope that s steeper or less steep than the precise slope of 3 at 7 9. In this section we are going to see how to find the slope of a tangent line at a point. M f x or dy dx. A line that touches a curve at a point without crossing over.
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