My Math Forum d²y/dx² and theta angle

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 November 23rd, 2013, 09:56 AM #1 Senior Member   Joined: Nov 2013 Posts: 137 Thanks: 1 d²y/dx² and theta angle If dy/dx = tan(?), is possible to relate d²y/dx² with some function of theta too?
 November 23rd, 2013, 11:02 AM #2 Math Team   Joined: Sep 2007 Posts: 2,409 Thanks: 6 Re: d²y/dx² and theta angle You aren't saying exactly what you mean! If, as I suspect, "theta" is the angle the tangent to y= f(x) makes with the x-axis, so that "dy/dx= tan(theta)" is one definition of the derivative, then NO, the second derivative cannot depend on theta. We can, in fact, take any value for both first and second derivatives at any one value of x.

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