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- integral of sin^5(3x)cos^3(3x)dxFind the linearization of ƒ(x) = √(x + 1) + sin x at x = 0. How is it related to the individual linearizations of √(x + 1) and sin x at x = 0?Find the Differential of a Composite Function Original function y = f(x) = sin 3x Apply Chain Rule f′(x) = 3 cos 3x Differential form dy = f′(x) dx = 3 cos 3x dx
- Find the linearization of ƒ(x) = sqrt(x + 1) + sin x at x = 0. How is it related to the individual linearizations of sqrt(x + 1) and sin x at x = 0?2. Use the second derivative test to find all local extrema.f(x) = 2sinx + cos2xfind dydx 15. y = (sec x + tan x)(sec x - tan x)16. y = x^2 cos x - 2x sin x - 2 cos x17. ƒ(x) = x^3 sin x cos x 18. g(x) = (2 - x) tan^2 x