\"\"

\

(a)

\

The function is \"\" and point is \"\".

\

Apply derivative on each side with respect to \"\".

\

\"\"

\

\"\"

\

Constant multiple rule and power rule : \"\".

\

\"\"

\

\"\"

\

\"\"

\

\"\".

\

\"\"

\

Find the slope of the tangent line at \"\".

\

Substitute \"\" in \"\".

\

\"\"

\

\"\"

\

Therefore, slope of the tangent line \"\".

\

\"\"

\
\
\

Point-slope form of line equation is \"\".

\

Substitute \"\" and \"\" in the point-slope form.

\ \"\"
\
\

The tangent line equation is \"\".

\

\"\"

\

(b)

\

Graph the function \"\" and the tangent line \"\".

\

\"\"

\

\"\"

\

(c)

\

Graph of the function using derivative feature of a graphing utility.

\

\"\"

\

\"\"

\

The tangent line equation is \"\".