Problem 70
Finding an Equation of a Tangent Line In Exercises 67–74, (a) find an equation of the tangent line to the graph of f at the given point, (b) use a graphing utility to graph the function and its tangent line at the point, and (c) use the derivative feature of a graphing utility to confirm your results.
/(f(x)=\frac{x+3}{x-3}, \quad(4,7)\)
Text Transcription:
f(x)= x+3/x-3, (4,7)
Step-by-Step Solution:
Step 1 of 5) These equalities tell us that y dx + x dy + 4 dz is exact, so y dx + x dy + 4 dz = dƒ for some function ƒ, and the integral’s value is ƒ(2, 3, -1) - ƒ(1, 1, 1). We find ƒ up to a constant by integrating the equations
Step 2 of 2
