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fravily Academy, Topici Applications of Dexivatives, D The equation of the tangent to the, x+4, x², is, that, is parallel to, Curve, the, x-axis., Dyal, function fl) = tant (sin xt cos x), 1the, is, an increasing, function, 2), in, TT, II, 2., 2., 4., 3)., IT., 2., II, 2., 2., 3) Tf the function fex) = x3+ 10 x +7 for, xER. Find whether the function is, shrictly or decreasing, 2) ficx)>o, increasing, 3) f'cx), '<o, 4) f'cod2, ) If fice)=0 then at x=C the function is, nei-ther increasing nor, an, decreasing Sucha, point, 2 turaing, is called, curve, b) Stationany paint, )uniform paint d) all of the above, a What is the slope of the tangent to, the, a)0, 2x/x2+1 at co,, c) 2, curve

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PAGEN, DATE, 6) The time rate of change of the radius, 1/2T. When its radius, be the rate of, of, a sphere is, is, 5 cm, what wil., change of the surface of the, dime 2, sphere, with, La)la sq cm., ).20 39 cm., 30 sq cm., cm., DA partidle moving in a, a distaace of x cm, 15++18., covers, where, straight line, lin t second,, When does, the particle stop 2, b)'1/2 second, d) !!2 second, a//4! second, second, ) The equation of the tangent to the, furve, X/2, at the paint 0 of intersection, ith Y axis is, a) x+24=0, then flx) is., 9) Let flx)= x3-6x²+ 9xH8., strictly decreasing in, 2., 2., 10) If the tangent at C1,) on, n 42s x (2-x)², then P is, meets the conve again, at P, a) 14,4)., b) (-1,2)° 2(3,6)

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DATE, w fow is monatonically increasing if, a) f'G) >o, b) f'cx) Yo of'#0 d)frwzo, is moving in such., distance it covers, is given by the equation,, S 412+ 3t where, is in seconds. What would be the., velacity and the acceleration of the cax, time t=20., * a) 8 m/sec2 b) 10 m/sec?, 26m/sec?, 12) A_car a, way, that the, in detres and, second 2, ĕ, d) 12 m/sec?, 13) fCx)=x3 -6x² +12 x- 16 , XER,, If f G)= 3 Cx-2)² > o, af (x) is increasing, b) f C) is decreasing, o f G) is neither decreasing, d)f(x)is incregsing as well-as, d) None, then, nor increasing, of the above, t4) Water is being paured, 36 m/sec, base radius 3 meters find the rate at, which water level is rising, at the rate of, in to a culindrical vessel of, 26T, ) Slope of line of equation of cure y=, a)!, b) -2, d)2, 2., 2.

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DATE, 16) What, ave (xy), 4cos 2 eat, 6)., paints if x sin @,, 2., 2., 2., TJCP, 2., 12., for, real, then, x2-1, x²+1., value of f, every, the minimum, is, b)o, d) 2, 18 Tf f'(x) <o then, La) decreasing, False statement, fis, 6) Increasing, D Nome of, the above, 19) If f (x)= 3x- cOs x then f'(x) is, a) Tncreasing, Both a and b, b) Decreasiog, d) None of the above, what s, 20) If f(x)= x3-9x2 +24x then, value:, Maximum-4., Maximum- I, Maximum -5, Maximum-2, minimum and, a Minimum -e, b) Minimum- 3, A Miñimum-, diMinimum-4, maximum