Recently Active Calculus Questions

lim \left|x \right| \left[cos x \right] =? x \rightarrow 0 ...

what is condensation point of domain ?????????????? ...

give the integration of 1/( 1+ sin pi x/d) with respect to x the limits are from x=0 to x=d i have not started calculus yet ..but i have to use this in a question of physics ...please do not give any formula ..because i don't ...

y= 1+ a1/(x-a1) + a2x/(x-a1)(x-a2) +a3x/(x-a1)(x-a2)(x-a3) +...........upto n+1 terms if dy/dx = f(x,y) [ a1/(x-a1) + a2/(x-a2) +......... +an/(x-an) then f(x,y) a. y/x b. x/y c. y2/x2 d. x2/y2 ...

differentiate xsin-1x with respect to sin-1x ...

can u explain mathematically for the non existence of the following limits lim x→∞cos(1/x) lim x→∞(1)x ...

y=sin-1(x 1-x + x 1-x2 ) and dy/dx= 1/(2 x(1-x) ) + d find d a.0 b. sin-1x c. cos-1x d. cos x e. none of these ...

if tan^{-1}\left(\frac{1-cosx}{sinx} \right) then dy/dx= a) { 1/2 x belongs to R -{n∩} n belongs to I and -1/2 x={n∩} n belongs to I } b){ 1/2 x belongs to R -{n∩} n belongs to I and does not exist for x = {n∩} n belo ...

If x 1+y +y 1+x =0 then find dy/dx ...

Can someone help me out with functional relations please? I'm always stuck with such type of questions. How do we think about it and proceed in these? As an example, help me solve this question- Determine a function f satisfy ...

thee differential eqn of all curves for which the initial ordinate is of any tangent is equal to the corresponding subnormal is a)is linear b)is homogenous in first degree c)has separable variable d)is second order ...

*Image* ...

Q1) f(x).f(y) = f(x) +f(y) +f(xy) -- 2 and that f(2)= 5.then f(3) = a.10 b.24 c.15 d.N.O.T. (f is a differential function of x) Q2) lim (h→0) [ f(a+h)-2f(a)+f(a-h) ] / h2 a. 2 f'(a) b. f''(a) c. f'(a) d. f'(a)+f''(a) (f is ...

∫{ (x-3) {sin-1(lnx)+cos-1(lnx)}dx ...

the value of x in [-2pi,2pi].for which the graph of function ..y=√1+sinx/1-sinx - secx and y= -√1-sinx /1+sinx+ secx concide are.... in this can we solve by graph??????? if not wht approach shud we use??????/ ...

F(x)= 0∫x f(x)dx, x ≥ 0, f(x)≥ 0, f(x)≤C - F(x). find f(x) plz tell how to solve this ................ ...

Find the domain-- f(x)= log10(3-x)/x ...

if f(x)= sin-1[ (3x4+6x2-1)/(x2+1)3] find dy/dx at x2= tan (pi/8) i tried this method (3x4+6x2-1 )/(x2+1)3 = 3 sin a -4 sin3a=sin 3a where sin a= 1/(1+x2) now x2=tan pi/8 so we have sin a =cos2pi/8.... and f(x) becomes sin-1( ...

lim ( x→ infinity) [ (cosh pi/x )/(cos pi/x) ] x2 where cosh t= (et+e-t)/2 ...

Find the limit for *Image* ...

lim (x→1) ( 1-cos2(x-1) )/(x-1) a. 2 b.- 2 c.does not exist because x-1→0 d.does not exist becoz LHL is not equal to RHL Question to bahut hi easy hai lekin i find myself doubtful ...

im stuck at this one [41] Find f(x) if f(x + y) = x. f(y) + y. f(x) and f '(0) = 1 ...

No. of solutions of eqn.--- | Sin π(pi)x/2 + Cos πx/2|= |(ln |x|)^3|+1 A. 4 B. 6 C. 8 D. none of these ...

f(x)=(x2-1) mod(x2-3x+2) + cos(mod(x)) is not differentiable at a.1 b.2 c.0 d.n.o.t ...

if xp yq = ( x+y )p+q then find dy/dx ...

Saw this recently " A root of an equation f(x)=0 is said to have a multiplicity k if its k times repeated root " eg. (x-1)2=0 has x=1 as a root of multiplicity 2 (x-1)2(x-2)3=0 has x=1 as a root of multiplicity2 and x=2 as a ...

if xp yq = ( x+y )p+q then find dy/dx ...

if xp yq = ( x+y )p+q then find dy/dx ...

let 'f' be a twice differntiaible function such that f''(x)= - f(x) and f'(x)= g(x) for all x ε R. If h'(x)=[ f(x)]2 +[ g(x) ]2 , h(1)= 8; h(0) =2 then h(8) = a. 16 b. 32 c. 40 d. 50 ...

If a fn. satisfies f(x+1)+f(x-1)= 2 f(x) then find the period of f(x). ...