MTH621 assignment no 2 solution spring 2020|||MTH 621|||assignment 2|||Solution|||spring 2020|||vu.

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In this lecture solved the MTH 621 assignment no 2 solution spring 2020 virtual university.
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Let |f| be the function whose value at each x in D_fis |f(x)|. Prove: If f is continuous at x_0, then so is |f|. Is the converse true?

Suppose that f is continuous and increasing on [a,b]. Let f be differentiable at a point x_0in (a,b), with f^' (x_0)≠0. If g is the inverse of f, show that g^' (f(x_0 ) )=1/(f^' (x_0)).