Tangent Equation At A Point

To find the linear equation of the tangent line of a given point from a given function.

Example

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Problem

Solution

Use Difference Quotient to find slope To get y-intercept, ensure that the equation of tangent hits the same coordinate as it was on the original equation

Tangent Equation Given only point & Slope

Given:

• f(x)
• f’(x)
• point equation of tangent line = $f^{\prime }(x)x+(f(x)-f^{\prime }(x)x)$