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Recent questions tagged applications of derivatives
+3
votes
1
answer
Find the area of greatest rectangle that can be inscribed in an ellipse
asked
Apr 6, 2019
in
JEE
by
kratos
applications of derivatives
circle
cbse
two dimensional analytical geometry
jee
application of derivative
conic section
jee mains
class-12
+2
votes
1
answer
Show that height of the cylinder of greatest volume which can be inscribed in a right circular cone of height
asked
Apr 6, 2019
in
Class 12
by
kratos
applications of derivatives
cbse
maxima
minima
application of derivative
class-12
+2
votes
1
answer
Find the set of real ‘ x ‘ for which the function f (x) = 1 / [|x - 1|] + [|12 - x|] - 11 is not defined, where [ . ]
asked
Apr 6, 2019
in
JEE
by
kratos
applications of derivatives
class-11
jee
trigonometric identities
relations and functions
jee mains
functions
relations
+3
votes
1
answer
If the radius of a sphere is measured as 9 cm with an error of 0.03 cm then the approximate error in calculating volume is
asked
Apr 5, 2019
in
Class 12
by
kratos
errors and approximations
application of derivative
approximate values
class-12
applications of derivatives
differentials
cbse
+1
vote
1
answer
Equation of a tangent to the curve y cot x = y^3 tanx at the point where the abscissa is π/4, is:
asked
Apr 5, 2019
in
JEE
by
kratos
applications of derivatives
jee
differential equations
applications of differential calculus
jee mains
class-12
+3
votes
1
answer
Prove that sinx + 2x ≥ (3x(x + 1)/π ∀ x ∈ [0, π/2]. (Justify the inequality, if any used).
asked
Apr 5, 2019
in
JEE
by
kratos
applications of derivatives
jee
jee main
jee mains
+2
votes
1
answer
The maximum value of x^4e^-x^2 is (A) e^2 (B) e^-2
asked
Apr 5, 2019
in
JEE
by
kratos
applications of derivatives
jee
jee mains
+2
votes
1
answer
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
+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
+2
votes
1
answer
Find the approximate value of tan 46° if it is given that 1° = 0.01745 rad.
asked
Apr 4, 2019
in
JEE
by
kratos
errors and approximations
class-12
jee mains
jee
applications of derivatives
differentials
+1
vote
1
answer
An edge of a variable cube is increasing at the rate of 3 cm per second. How fast is the volume of the cube increasing when the edge is 1 cm long?
asked
Apr 4, 2019
in
Class 12
by
kratos
applications of derivatives
class-12
derivatives
+2
votes
1
answer
The abscissa of a point on the curve xy = (a + x)^2, the normal at which the cuts *** numerically equal intercepts from
asked
Apr 3, 2019
in
JEE
by
kratos
applications of derivatives
tangents
cbse
jee
jee mains
class-12
normals
+1
vote
1
answer
The equation of common tangent to the curve xy = 4 and x^2 + y^2 = 8, whose x and y intercepts are positive is x + y = λ.
asked
Apr 3, 2019
in
JEE
by
kratos
applications of derivatives
the tangent and normal
jee
applications of differential calculus
jee mains
jee main
class-12
+1
vote
1
answer
If the radius of sphere is measured as 9 cm with an error of 0.03 cm, then find the approximate error in calculating its surface area.
asked
Apr 2, 2019
in
Class 12
by
kratos
applications of derivatives
cbse
approximate values
class-12
differentials
+3
votes
1
answer
Find the equation of the line, which makes intercepts – 3 and 2 on X and Y axes respectively.
asked
Apr 2, 2019
in
JEE
by
kratos
applications of derivatives
the plane
cbse
jee
class-9
3-d geometry
jee mains
vector
coordinate geometry
class-12
three dimensional geometry
+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
+3
votes
1
answer
y = 2x^2 – log | x | passes - (A) two minima & one maxima (B) Two maxima and one minima
asked
Apr 2, 2019
in
JEE
by
kratos
applications of derivatives
maxima and minima
differential calculus
jee
jee mains
class-12
+1
vote
1
answer
Find the maximum area of an isosceles triangle inscribed in the ellipse x^2/a^2 +y^2+b^2=1 with its vertex at one end of the major axis.
asked
Apr 1, 2019
in
Class 12
by
kratos
applications of derivatives
cbse
maxima
minima
application of derivative
class-12
+1
vote
1
answer
Find the value (*) of x for which y = [x(x - 2)]^2 is an increasing function.
asked
Apr 1, 2019
in
Class 12
by
kratos
applications of derivatives
cbse
decreasing functions
increasing functions
class-12
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