Consider the implicit function and its graph. ycos(y+x+x2)=x3 The graph of y times cos of the...

 

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Consider the implicit function and its graph. ycos(y+x+x2)=x3 The graph of y times cos of the sum of y, x and x squared equals x cubed is shown. The point on the graph zero comma pi over 2 is highlighted. The derivative dydx is found implicitly. y'cos(y+x+x2)-ysin(y+x+x2)(y'+1+2x)=3x2 Evaluate the derivative dydx at the point P=(0,2). That is, Substitute x=0 and y=π2 into the derivative, then solve for y'. Consider the implicit function and its graph. ycos(y+x+x2)=x3 The graph of y times cos of the sum of y, x and x squared equals x cubed is shown. The point on the graph zero comma pi over 2 is highlighted. The derivative dydx is found implicitly. y'cos(y+x+x2)-ysin(y+x+x2)(y'+1+2x)=3x2 Evaluate the derivative dydx at the point P=(0,2). That is, Substitute x=0 and y=π2 into the derivative, then solve for y'.

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Answer Trigonometric functions play a significant role in the stability analysis of fixed points in nonlinear dynamical systems especially in systems ... View the full answer