Chapter 8.4, Problem 10QR

If xis large, which function grows faster, f(x)=2x or g(x)=x2?

3- The equation f (x) = Inx - x +3 has a root in the interval (4,5). Obtain the root correct to three decimals places. %3D

answer simplifies to 3x (16) x² - -48 PhotoPro * 461 84) АCTIVITY 2 Direction: Read each instructions carefully and answer as required. A. Differentiate the following function. 1. f(x) = 240 2. 21 – 312 – 4t 3. g(x) = x²(1 – 2x) 4. |Н(и) — (Зи — 1) (и + 2) 5. Vx + x y = x2 B. Derivative of Trigonometric Function. Differentiate (or find the derivative) of the following trigonometric functions. 1. f(x) = x² sin x 2. f(x) = x cos x + 2 tan x 3. f(x) — 3 соt x - 2 сos x 4. у 3D 2 sес х — csc x C. Chain Rule. Find the derivative (y) of each function. 1. y = V1 + 4x 2. y = (2x³ + 5)* 3. v = tan 7x 4. у %3 sin(cot x) 5. у — 6. y = sin Vx sin x D. Implicit Differentiation. Find y by implicit differentiation. 1. 9x² – y? = 1 2. 2x? + x + xy = 1 3. Ja + Vỹ = 1 Awww ok End