Topper's Solved these Questions
Similar Questions
Explore conceptually related problems
RESONANCE DPP-CONTINUITY AND DIFFERENTIABILITY-All Questions
- Comprehension (for Q. No. 1 to 3) Let f(x)=sin^(-1)(1-x^2)/(1+x^2)+tan...
Text Solution
|
- Solve for x , if [cos^(-1)x]=[sin^(-1)x] (where [.] represents greates...
Text Solution
|
- underset(x to0)(lim)((1+a^(3))+8e^(1//x))/(1+(1-b^(3))e^(1//x))=2 " th...
Text Solution
|
- Which of the following is true? pi/3>tan^(-1)pi/3 (b) pi/3<tan^(-1)pi...
Text Solution
|
- Let f(x)=[(sinx)/x]+[(2sin2x)/x]+.....+[(10sin10 x)/x] (where [.] is t...
Text Solution
|
- The sum of the series x/(1)+(2x^2)/(2)+(3x^3)/(3)+ is x e^x b. -x e...
Text Solution
|
- If a x^2+2h x y+b y^2=0, then (dy)/(dx) is equal to y/x (b) x/y (c) ...
Text Solution
|
- If f(x)=(log)x(lnx),t h e nf^(prime)(x) at x=e is equal to 1/e (b) e ...
Text Solution
|
- Let y=x^3-8x+7a n dx=f(t)dot If (dy)/(dt)=2 and x=3 at t=0, then (dx)/...
Text Solution
|
- Let g is the inverse function of fa n df^(prime)(x)=(x^(10))/((1+x^2))...
Text Solution
|
- If x=(1+t)/(t^3),y=3/(2t^2)+2/t ,t h e nx((dy)/(dx))^3-(dy)/(dx) is eq...
Text Solution
|
- If u=f(x),v=g(x), then the value of D^*(udotv) is (D^*u)v+(D^*v)u b. u...
Text Solution
|
- Let f(x)={((x-4)/(|x-4|)+a ,x<4),(a+b ,x=4),((x-4)/(|x-4|)+b ,x >4):} ...
Text Solution
|
- If f(x)=x^3+bx^2+cx+d and 0 < b^2 < c, then in (-oo,oo), (a) f(x) is...
Text Solution
|
- The point(s) of minimum of function, f(x)=4x^3-x|x-2|,x in [0,3] is x=...
Text Solution
|
- Leg g(x)=ln(f(x)), whre f(x) is a twice differentiable positive func...
Text Solution
|
- Let f:(-1,1)vecR be a differentiable function with f(0)=-1 and f^(prim...
Text Solution
|
- If y=(sin^(-1)x)^2+(cos^(-1)x)^2 , then (1-x^2) (d^2y)/(dx^2)-x(dy)/(d...
Text Solution
|
- Statement-1 Let f:[0,oo)vec[0,oo) be a function defined by y=f(x)=x^2,...
Text Solution
|
- If f(x),g(x),h(x) are polynomials in x of degree 2 and F(x)=|fghf'g' h...
Text Solution
|