Question

a Xfinity Mobile 8:29 AM @ 57%c . a)sin(e), then fiz) is equal to O B.co(2se) IfNa) . ln(Th).then A'(z) is equal to O B. 45 o c.ao O E75 O E35 O G.83 Find the eatinofthe ︸ line "the curve ran + yaa_S.the polnt (1.8). poiat (m/2, m). Find its equation

Answer 1

Given h (x) = ln [x/squareroot 1 + x^2] differentiate both sides with respect to �x� h�(x) = squareroot 1 + x^2/x times [squareroot 1 + x^2 - x (2 x/2 squareroot 1 + x^2)/1 + x^2] = squareroot 1 + x^2/x times [1 + x^2 - x^2/(1 + x^2) (squareroot 1 + x^2) h�(x) = 1/x (1 + x^2) f (x) = e^x^x ln f (x) = x^x ln e = x^x log^e_e ln f (x) = x^x 1/f (x) f�(x) = x^x (1 + log x) f� (x) = e^x^x x^x (1 + log x) \r\n x^2/3 + y^2/3 = 5 differentiate on both sides 2/3 x^2/3 - 1 + 2/3 y^2/3 - 1 dy/dx = 0 2/3 x^-1/3 + 2/3 y^-1/3 dy/dx = 0 dy/dx = y^1/3/x^1/3 slope = m = dy/dx = (y/x)1/3 at (1, 8) m = (8/1)^1/3 m = 2. Therefore equation is, y - 8 = 2 (x - 1)
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