Question
Quiz #02 (Derivative & Graphing) ’
- Find the equation of the tangent line to the curve.
at the point when
Ask by Horton Pope. in Canada
Jan 23,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The equation of the tangent line at
is
.
Solution

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The Deep Dive
To find the equation of the tangent line at
, first, we need to calculate the derivative of the function
. The derivative,
. Now, plug in
to find the slope:
.
Next, calculate the y-coordinate by substituting
back into the original equation:
. Now we have the point (1,0) and slope -2. The equation of the tangent line is
, which simplifies to
.
So, the equation of the tangent line is
.