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Implicit Differentiation, Indefinite Integral, Graph of Inequality and Extreme of a Function

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Find the indefinite integral and check by differentiation ∫x^3+2 dx

Solve the inequality and sketch the graph of the solution on the real number line
x- 5 > or = 7

Find the extreme of the function of the closed interval f(x) = 5- 2x^2, [0,3]

Find dy/dx using implicit differentation for y^3 -x^2 + xy=3

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Implicit Differentiation, Indefinite Integral, Graph of Inequality and Extreme of a Function are investigated. The solution is detailed and well presented.

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