Recently Active Calculus Questions

If x1 and x2 are absicca of two points on the curve f(x)=x-x2 in the interval (0,1), then maximum value of expression (x1+x2)-(x12+x22) is ...

The number of critical pts of the function -- f(x)=|x-1||x-2| is _____. I got 2,but thats not the ans. ...

just tell me the answers Q1 Interval in which elx2-6x+8l increases ?? Q2 Range of tan (Ï€/4 cos2x) ...

Ques) If g(X) = (x - x3 /6 - x5 / 120 ) - Sinx then show that log {g(x)} (for x greater than zero) is not defined. ...

What normal to the curve y=x2 forms the shortest chord ?? ...

f(x)f(1/x)=f(x)+f(1/x).given f(4)=65.find f(6) ...

Lt n→∞ Lt x→0 1/(1tan2x+2tan2x+....Ntan2x)cot2x We had a similar problem http://www.targetiit.com/iit-jee-forum/posts/find-the-limit-10114.html But I'm not sure about the answer...Plz someone give a complete explanation ...

Lt x→∞ nCx(m/n)x(1-m/n)n-x =? ...

The largest value of 2x3 -3x2-12x+5 for -2≤x≤4 occurs at x equals A. -2 B. -1 C. 2 D. 4 By normal maxima calculation im getting B,but ans given is D. ...

Ques1) Find the point of inflexon of (x-5)55 (x-6)66. Ques2) Show that the extremum value of the function f(x) = (Sin-1 x) 3 + (cos-1 x)3 (-1<x<1) is \pi 2/ 32. Ques3) Find the least value of the expression 2log10x - lo ...

Suppose that f is differentiable function with property f(x+y)=f(x)+f(y)+x2y and Lt x→0 f(x)/x =0 Find the value of f'(10) ...

lim x→0 (1cosec2x+2cosec2x+3cosec2x+....Ncosec2x)sin2x=????? ...

Could you please tell how to find the period of the following function? f(x) = cos(2tanx)/2 + cos(2cotx)/2 ...

1)Consider a differentiable function f:R→R which satisfies f2(x/ 2 )=f(x) for all x belongs R and f(1)=2. Find f(x)? 2)Let f be a real function whose derivatives upto third order exist and for some pair a,b belongs R,a<b ...

Find the integral solutions to the equations [x][y]=x+y. Show that all the non-integral solutions lie on exactly two lines. What are these lines?? ...

is der ne function possible which has f'(x)=0 but it is not a constant function. ...

find the following limit LIMn→∞{(33-8)(43-8)(53-8).....(n3-8)}/{(33+8)(43+8)(53+8).......(n3+8)} ...

f(x)-f(y)<|x-y|7 for all reals x,y....... Is f(x) a const. function ? Well - I've solved it, but the process is not a routine type, wanna see how many can our titans come up with..... ...

∫secx/{(sin(x+a)+sinx}^0.5 ...

The normal to the curve x=a(cos t + tsin t),y=a(sin t-tcos t)at any point t is such that-- A. it makes a constant angle with the X axis B. it passes through the origin. C. it is at a constant distance from the origin. D. none ...

If f:R→R is a monotonic,differentiable real valued function a,b are two real numbers and ∫f(x)+f(a))(f(x)-f(a))dx=I1 upper limit→ b and lower limit→a ∫x(b-f-1(x))dx=I2 upper limit→f(b) lower limit→f(a) I2/I1=___ ...

how to solve sin-1x≥0??????? ...

lim x→2 ( x-2 + x - 2 )/ x2-4 ...

please give the mistake in the following solution: I=∫ (ax+b)sec x tan x dx/4+tan2x dx (a,b>0) and lower limit 0 and upper limit π splitting the numerator, ∫ ax sec x tan x dx/3+sec2x = ∫ a(π-x)sec x tan x/3+sec2x ...

ysin2xdx=dy(1-k(y)^(1/2)cosx) here k is a known constant. ...

Prove the cos x2 is not periodic. ...

A Few reasoning and assertion questions -: f(x) = lim cos(n!2∩x) n is an integer . n--->∞ g(x) = lim cosn(2∩x) n--->∞ h(x) = lim {cos(n.x)+2}-n Range of f = R1 , Domain Of f is D1 Range of g = R2 , Domain Of g i ...

draw the graph of ---- (1)f(x)=2|x-2|-|x+1|+x (2)f(x)+x+|x| ...

Find the interval in which the function f(x)=loga(5x-2-2x2),where o<a<1 has an inverse. ...

The fuctions f(x)=x2-4x+3 and g(x)=2- 1+x are inverse functions of each other.Find any one root of the equation f(x)=g(x). ...