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Let g be a differentiable function that satisfies cos(g(x))+x^3*sin(g(x))=x^4+(80/3)x near x=-3. Use the derivative of implicit functions to find an expression for g?(x) in terms
Let g be a differentiable function that satisfies
cos(g(x))+x^3*sin(g(x))=x^4+(80/3)x near x=-3. Use the derivative of implicit functions to find an expression for g?(x) in terms of g(x). Then, given that g(-3)=(2)?, find the exact value of g?(-3)
g?(-3)=
Hint: y=g(x) here. So we ask for y'.
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