Problem 2.1 (max, argmax, min, argmin) Let f(x) := (2+ sin(2.x)) and A := [0, 2]. (a) Compute: maxeA f(x) and argmax f(x). XEA (b) Compute: min,eg f(x) and argmin f(x). XEA Compute: argmax |[2 -e-f(x}+5 _ -가 (c) XEA (d) „Compute: argmin [11 – In (2 · f(x) + 5)].

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Q: =x sin

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A: we have given a function f(x).  We have to find the functional value

Q: find the derivative of the question in the picture please show all work

A: Obtain the derivative of the function.

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Q: the derivative. 28) y = x5/6 A) 5x7/6 B)x1/5 a C)/x-5/6 D) Ex-1/6

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Q: n the same axis over a domain o

A: we have to sketch the f(x) = csc x and g(x) = sec x on the same to axis over a domain x∈[-2π,2π].

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.