$\"\"$

\

The function is $\"y$ and point is $\"open$

\

$\"fraction$ (Apply derivative)

\

$\"y$ (The sum rule)

\

$\"y$ (The power rule: $\"fraction$ )

\

$\"y$ (Simplify)

\

$\"y$ (The rule of exponentiation: $\"a$ and $\"a$ )

\

$\"y$ (Simplify) $\"\"$

\

To find the slope graph when $\"x$ , evaluate the derivative, $\"y$ , at $\"x$ . $\"m$ (Slope of graph at $\"open$ )

\

$\"m$ (Simplify) $\"\"$

\

Now, using the point slope form of the equation of a line, you can write

\

$\"y$ (Point - slope form)

\

$\"y$ (Substitute $\"y$ )

\

$\"y$ (Simplify)

\

$\"y$ (Multiplt by 4)

\

$\"y$ (Subtract 2 from each side)

\

$\"\"$

\

Therefore the tangent line equation is $\"y$ .

\

The graph of the function and its tangent line at the point.

\

$\"\"$