Posted by **Zhao** on Sunday, September 30, 2012 at 4:25pm.

If cos(3 x)−4 x e^2 y=0, find [ dy/dx] using implicit differentiation.

In this problem, you should differentiate both sides of this equation with respect to x. First, using implicit differentiation, differentiate the left side of the equation with respect to x, and express your answer in terms of x,y and [ dy/dx]. To enter your answer to Webwork, every occurence of [ dy/dx] in your answer should be replaced by D, (upper case). For example, if your answer were x(x+y2)[ dy/dx], you would submit x(x+y2)D.

Derivative of left side = .

Now, to find [ dy/dx], set your answer above to 0 and solve for D.

[ dy/dx]=

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