(Solution Library) Let f be a differentiable function with f'≠ 0. Show that the normal lines to the surface of revolution around the z-axis defined by the
Question: Let f be a differentiable function with \(f'\ne 0\). Show that the normal lines to the surface of revolution around the z-axis defined by the equation
\[z=f\left( \sqrt{{{x}^{2}}+{{y}^{2}}} \right)\]always intersect the z-axis.
Deliverable: Word Document 
Solution: Find (dy)/(dx) for the circle x^2+y^2=4 by differentiating
![[Solution Library] Given the curve x^3+y^3=6xy Find](/images/solutions/MC-solution-library-32964.jpg "[Solution Library] Given the curve x^3+y^3=6xy Find (dy)/(dx)")
[Solution Library] Given the curve x^3+y^3=6xy Find (dy)/(dx)
![[Solution Library] Find the points at which](/images/solutions/MC-solution-library-32965.jpg "[Solution Library] Find the points at which the graph of 4x^2+y^2-8x+4y+4=0")
[Solution Library] Find the points at which the graph of 4x^2+y^2-8x+4y+4=0
(See) Find the point(s), if any, of horizontal tangent lines
![[See Steps] Find (dy)/(dx) at (0, 0)](/images/solutions/MC-solution-library-32967.jpg "[See Steps] Find (dy)/(dx) at (0, 0) of the function tan")
[See Steps] Find (dy)/(dx) at (0, 0) of the function tan
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