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Recent questions tagged the maxima and minima
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1
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Find the point of maxima and minima for the function f(x) = ∫t(t + 1)(t – 2) dt for t ∈ [0,x].
asked
Apr 6, 2019
in
JEE
by
kratos
the maxima and minima
cbse
jee
definite integral
jee mains
integrals
jee main
class-12
+2
votes
1
answer
Let P be a variable point on the ellipse x^2/a^2 + y^2/b^2 = 1 with foci F1 and F2. If A is the area of the triangle PF1F2,
asked
Apr 4, 2019
in
JEE
by
kratos
the maxima and minima
jee
jee mains
jee main
ellipse
+2
votes
1
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If the sum of the hypotenuse and a side of a right angled triangle is given, show that the area of the triangle is maximum
asked
Apr 4, 2019
in
JEE
by
kratos
applications of derivatives
isc
the maxima and minima
jee
application of derivative
icse
jee main
class-12
+1
vote
1
answer
Let f: R → R be defined by f(x) = {k - 2x, if x ≤ -1, f(x) = {2x + 3, if x > -1. If f has a local minimum
asked
Apr 4, 2019
in
JEE
by
kratos
applications of derivatives
maxima and minima
the maxima and minima
jee advanced 2020
differential calculus
jee
jee mains
jee main
class-12
+1
vote
1
answer
What normal to the curve y = x^2 forms the shortest chord?
asked
Apr 4, 2019
in
JEE
by
kratos
the maxima and minima
jee
jee main
tangents and normals
+3
votes
1
answer
If f(x) = x^3 + bx^2 + cx + d and 0 < b^2 < C, then in (-∞, ∞)
asked
Apr 3, 2019
in
JEE
by
kratos
the maxima and minima
monotonocity
limits
class-11
jee
class-10
jee mains
jee main
polynomials
+3
votes
1
answer
A line L : y = mx + 3 meets y-axis at E(0, 3) and the arc of the parabola y^2 = 16x, 0 ≤ y ≤ 6 at the point F(x0, y0).
asked
Apr 3, 2019
in
JEE
by
kratos
the maxima and minima
jee
jee main
+1
vote
1
answer
Find the equation of straight line at an inclination of 120° with the +ve direction of x-axis and having a point (-2,4) on it.
asked
Apr 1, 2019
in
JEE
by
kratos
the maxima and minima
jee
class-10
jee mains
jee main
coordinate geometry
+1
vote
1
answer
Let f be a real valued function defined by f(x) =e^x -e^-|x|/e^x + e^|x| , then the range of f(x) is :
asked
Mar 31, 2019
in
JEE
by
kratos
limit
differentiability
definite integral
the maxima and minima
class-12
jee mains
jee main
relations and functions
jee
jee main 2021
continuity
+2
votes
1
answer
If the derivative of an odd cubic polynomial vanishes at two different values of ‘x’, then
asked
Mar 30, 2019
in
JEE
by
kratos
applications of derivatives
the maxima and minima
jee
jee main
jee mains
+3
votes
1
answer
The number of distinct real roots of x^4 – 4x^3 + 12x^2 + x – 1 = 0 is...
asked
Mar 29, 2019
in
JEE
by
kratos
the maxima and minima
rolles theorem
jee
jee main
lagranges mean value theorem
+2
votes
1
answer
Find the number of points of extremum of f(x) = |x^2 – 1| + |x^3 – 1| + |x^5 – 1|
asked
Mar 28, 2019
in
JEE
by
kratos
the maxima and minima
jee
jee main
+3
votes
1
answer
If the minimum value of f(x) = (1 + b^2) x^2 + 2bx + 1 is m(b), then the maximum value of m(b) is
asked
Mar 26, 2019
in
JEE
by
kratos
the maxima and minima
jee
quadratic equations
jee mains
jee main
+3
votes
1
answer
Determine the points of maxima and minima of the function f(x) = (1/8)(ln x - bx + x2), x > 0 where b ≥ 0 is a constant.
asked
Mar 25, 2019
in
JEE
by
kratos
maxima and minima
the maxima and minima
jee
jee main
class-12
+2
votes
1
answer
The following figure shows the graph of y = p(x), where p(x) is a polynomial in variable x.
asked
Mar 23, 2019
in
JEE
by
kratos
maxima and minima
the maxima and minima
cbse
jee
class-9
class-10
jee main
polynomial
polynomials
+3
votes
1
answer
Find the absolute max or min of f(x) = x + sin2x, ∀ x ∈ [0, 2π]
asked
Mar 20, 2019
in
JEE
by
kratos
the maxima and minima
jee
jee main
+1
vote
1
answer
If f(x) = {(e^x, 0 ≤ x ≤ 1), (2 - e^x - 1, 1 < x ≤ 2), (x - e, 2 < x ≤ 3) and g(x) = ∫f(t)dt for t ∈ [0, x], x ∈ [1, 3] then g(x) has
asked
Mar 19, 2019
in
JEE
by
kratos
the maxima and minima
jee
definite integral
jee main
differentiability
continuity
+1
vote
1
answer
If x is real, show that the expression x^2 + 2x - 11/x - 3 can take all values which do not lie in the open interval (4, 12).
asked
Mar 19, 2019
in
JEE
by
kratos
the maxima and minima
jee
quadratic equations
jee main
jee mains
+3
votes
1
answer
A tangent is drawn at the point (3√3cosθ, sinθ) 0 < θ < π/2 of an ellipse x^2/27+ y^2/1 = 1,
asked
Mar 18, 2019
in
JEE
by
kratos
the maxima and minima
jee
jee main
jee mains
ellipse
+3
votes
1
answer
Find number of different dissimilar terms in the sum (1+x)^2012+(1+x^2)^2011 +(1+x^3)^2010.
asked
Mar 18, 2019
in
JEE
by
kratos
applications of derivatives
the maxima and minima
interpolation
jee
definite integral
extrapolation
jee mains
jee main
binomial theorem
class-12
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