\
(a)
\The function is and the point is
.
.
Differentiate on each side with respect to .
Slope of the tangent line is derivative of the function at the given point.
\Find the derivative of the function at .
\
Find the tangent line at .
Point slope form of line equation: .
Substitute and
in the above formula.
The tangent line equation is .
\
(b)
\Graph of the curve and tangent line
.
\
(a) The equation of a tangent line
(b) Graph of the curve and tangent line
.