Calculus Questions

Question

For which values of x is the tangent to the curve g (x) = x ln (x) - 4x parallel to the line y = 2x − 1?

Determine the slope of the line tangent to the curve of
                                             π    3
f (x) = sin2 (x) + tan (x) at (---- ), (----) point. Simplify the final answer.
                                             4    2

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