G(x) = 1₂₁² In J2 X 1 In(t) (a) Find G '(x) = dt for x ≥ 2. (b) Is G(x) increasing or decreasing? O increasing O decreasing

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A: Given: f(x)=3x2x2+2x−1f'(x)=? Let, y=3x2x2+2x−1dydx=?

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A: f(x)=4lnx+3d dx(lnx)=1xd dx(xn)=nxn-1

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A: Use the concept of composite function.

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Q: (i) (k) dx (tan x) dx (secx) = = (j) (cscx) = dx (1) :(cotx) = =

A: As per your request, we answer only parts (j) , (k) and (l).find using derivative rules

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Q: 1. Let A(x) = | e -tdt. (a) Sketch a graph of e-t and use your graph to illustrate what A(x)…

A: Given:Here A(x)=∫1xe-tdtTo find:a)sketch the graph of e-tb)find the value of A(2)c)find…

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A: Solved below

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