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Recent questions tagged continuity and differntiability
+3
votes
1
answer
Examine if Rolle’* Theorem is applicable to any of the following functions.
asked
Apr 7, 2019
in
Class 12
by
kratos
cbse
continuity and differntiability
class-12
differentiability
continuity
+3
votes
1
answer
If cosy =xcos (a+y), with cos a ≠ +l , prove that dy/dx = cos^2(a+y) /sin a
asked
Apr 6, 2019
in
Class 12
by
kratos
continuity and differntiability
class-12
cbse
+3
votes
1
answer
If y = x cos^-1 x/√(1 - x^2) - log√(1 - x^2), then prove that dy/dx = cos^-1 x/(1 - x^2)^(3/2).
asked
Apr 5, 2019
in
Class 12
by
kratos
continuity and differntiability
class-12
cbse
+3
votes
1
answer
How many real solutions does the equation x^7 + 14x^5 + 16x^3 + 30x − 560 = 0 have?
asked
Apr 4, 2019
in
JEE
by
kratos
applications of derivatives
differential calculus
limits
jee
continuity and differntiability
jee mains
+1
vote
1
answer
If y= (tan^-1x)^2 ,show that (x^2+1)^2 y2+2x(x^2+1)y1=2
asked
Apr 3, 2019
in
Class 12
by
kratos
differentiability
class-12
derivatives
continuity and differntiability
continuity
+1
vote
1
answer
If limit (limit x→∞ )(1 + a/x + b/x^2)^2x = e^2, then the values of a and b are
asked
Apr 2, 2019
in
JEE
by
kratos
jee
jee mains
limits
continuity and differntiability
+2
votes
1
answer
The equation of a normal to the curve, siny = xsin(π/3 + y) at x = 0, is (A) 2x + √3y = 0
asked
Apr 2, 2019
in
JEE
by
kratos
applications of derivatives
jee
differential equations
continuity and differntiability
jee mains
class-12
+2
votes
1
answer
(logx)^logx, x>1
asked
Apr 1, 2019
in
Class 12
by
kratos
continuity and differntiability
class-12
+2
votes
1
answer
For a real number y, let [y] denotes the greatest integer less than or equal to y. Then, the function
asked
Apr 1, 2019
in
JEE
by
kratos
continuity and differntiability
jee
limits
jee mains
+3
votes
1
answer
Let f(x) = 1 + x, 0 ≤ x ≤ 2 f(x) = 3 - x, 2 < x ≤ 3 Determine the form of g(x) = f [f(x)] and hence find the points of discontinuity of g, if any
asked
Apr 1, 2019
in
Class 12
by
kratos
continuity and differntiability
class-12
cbse
+1
vote
1
answer
If u, v and w are functions of x, then show that
asked
Mar 31, 2019
in
Class 12
by
kratos
continuity and differntiability
class-12
cbse
+2
votes
1
answer
If x and y are connected parametrically by the equation, without eliminating the parameter, find dy/dx x = a secθ, y =b tanθ
asked
Mar 30, 2019
in
Class 12
by
kratos
continuity and differntiability
class-12
+3
votes
1
answer
Find all points of discontinuity of f, where f is defined by:
asked
Mar 29, 2019
in
Class 12
by
kratos
continuity and differntiability
class-12
cbse
+2
votes
1
answer
If y^x = e^(y - x) prove that: dy/dx = (1 + log y)^2/log y
asked
Mar 26, 2019
in
Class 12
by
kratos
continuity and differntiability
class-12
cbse
+1
vote
1
answer
If (tan^-1 x)^y + y^(cot x) = 1, then find dy/dx.
asked
Mar 24, 2019
in
Class 12
by
kratos
continuity and differntiability
class-12
cbse
+1
vote
1
answer
Find dy/dx y^x =x^y
asked
Mar 24, 2019
in
Class 12
by
kratos
continuity and differntiability
class-12
cbse
+1
vote
1
answer
A discontinuous function y = f(x) satisfying x^2 + y^2 = 4 is given by f(x) = ........
asked
Mar 23, 2019
in
JEE
by
kratos
continuity and differntiability
class-12
jee
jee mains
+2
votes
1
answer
If x = a (θ - sin θ) and y = a (1 + cos θ), then find dy/dx at θ = pi/3.
asked
Mar 23, 2019
in
Class 12
by
kratos
continuity and differntiability
class-12
cbse
+2
votes
1
answer
If y = sec (tan^-1 x), then dy/dx at x = 1 is equal to
asked
Mar 22, 2019
in
JEE
by
kratos
continuity and differntiability
jee
jee mains
limits
+3
votes
1
answer
If y = (tan^-1 x)^2, show that: (x^2 + 1)^2d^2y/dx^2 + 2x(x^2 + 1)dy/dx = 2
asked
Mar 22, 2019
in
Class 12
by
kratos
continuity and differntiability
class-12
cbse
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