Solution Found!
Tangent lines Find an equation of the line
Chapter 8, Problem 29RE(choose chapter or problem)
Tangent lines Find an equation of the line tangent to the following curves at the given point. Check your work with a graphing utility.
\(y^{2}=-12 x \); \(\left(-\frac{4}{3},-4\right)\)
Questions & Answers
QUESTION:
Tangent lines Find an equation of the line tangent to the following curves at the given point. Check your work with a graphing utility.
\(y^{2}=-12 x \); \(\left(-\frac{4}{3},-4\right)\)
ANSWER:Solution 29RE
Step 1:
In this problem we have to find the equation of the line tangent to , at the point ( - , -4).
First let us find the slope of
Differentiate both sides with respect to x,
()
2y= -12 (x)
2y = -12 , since
= =
Therefore , slope of is ; .