Slope and equation of tangent line - Derivatives

Slope and equation of tangent line

The derivative of a function is interpreted as the slope of the tangent line to the curve of the function at a certain given point. In this section, we will explore the meaning of a derivative of a function, as well as learning how to find the slope-point form of the equation of a tangent line, as well as normal lines, to a curve at multiple given points.

Lessons

  • 1.
    The graph of the quadratic function f(x)=12x2+2x1f\left( x \right) = \frac{1}{2}{x^2} + 2x - 1 is shown below.

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Slope and equation of tangent line

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