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Recent questions tagged differential calculus
+3
votes
1
answer
Expand e^ax + by by using Maclaurin’* theorem up to the third term.
asked
Apr 6, 2019
in
JEE
by
kratos
jee
jee mains
differential calculus
+1
vote
1
answer
Evaluate: (i) lim x → π/2 (sinx)^tanx.
asked
Apr 5, 2019
in
JEE
by
kratos
jee
jee mains
differential calculus
+3
votes
1
answer
Find all the real solutions to the equation x^2 - 1/4 = √(x + 1/4).
asked
Apr 4, 2019
in
JEE
by
kratos
jee
jee mains
differential calculus
+2
votes
1
answer
Find the minimum value of x^2 + y^2 + z^2, when x + y + z = 3a.
asked
Apr 4, 2019
in
JEE
by
kratos
class-12
jee
jee mains
differential calculus
+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
If e^y = y^x . PT dy/dx= (logy)^2 / logy-1
asked
Apr 3, 2019
in
JEE
by
kratos
differential calculus
differentiation
jee
differential equations
jee mains
class-12
differentiability
continuity
+1
vote
1
answer
If f(x) = log((1 - x)/(1 + x)), show that, f(x) + f(y) = f((x + y)/(1 - xy))
asked
Apr 3, 2019
in
JEE
by
kratos
jee
jee mains
differential calculus
+2
votes
1
answer
Find the solution of uxx + uyy = 0, ∞ > y > 0 and 0 < x < 1, with ux(0, y) = u(L, y) = 0, u(x, 0) = δ(x − 1/2) and u(x, ∞) = 0.
asked
Apr 2, 2019
in
Class 12
by
kratos
class-12
differential calculus
+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
f(x) and g(x) are two differentiable function on [0, 2] such that f "(x) - g"( x ) = 0,
asked
Mar 31, 2019
in
JEE
by
kratos
differential calculus
jee
jee mains
+3
votes
1
answer
Let f : R → R be a differentiable function such that f (a) = 0 = f (b) and f ′(a) f ′(b) > 0 for some a < b.
asked
Mar 31, 2019
in
JEE
by
kratos
differential calculus
definite integration
differential equations
jee
kvpy
jee mains
class-12
+3
votes
1
answer
Find the domain of the function f(x) = 1/(log(x - 2))
asked
Mar 31, 2019
in
JEE
by
kratos
jee
jee mains
differential calculus
+3
votes
1
answer
Let f(x) = log((x - 1)/(x - 2)) and g(x) = log(x - 1) - log(x - 2). is f = g?
asked
Mar 30, 2019
in
JEE
by
kratos
jee
jee mains
differential calculus
+2
votes
1
answer
Find the value of [1007] + [503(3/4)] + [252(1/8)] + [126(5/16)] + .....
asked
Mar 30, 2019
in
JEE
by
kratos
jee
jee mains
differential calculus
+1
vote
1
answer
If f(x + y) = f(x) × f(y) ∀ x, y and f(5) = 2, f '(0) = 3, then f '(5) is
asked
Mar 30, 2019
in
JEE
by
kratos
class-11
jee
jee mains
differential calculus
+3
votes
1
answer
Let f and g be increasing and decreasing functions respectively from [0, ∞) to [0, ∞). Let h (x) = f(g(x)).
asked
Mar 28, 2019
in
JEE
by
kratos
monotonocity
differential calculus
class-11
jee
jee main
+3
votes
0
answers
If y = sin(log x), show that x^2y2 + xy1 + y = 0.
asked
Mar 28, 2019
in
Class 12
by
kratos
class-12
differential calculus
derivatives
+1
vote
1
answer
The area of the region bounded by the parabola (y – 2)^2 = x – 1,
asked
Mar 28, 2019
in
JEE
by
kratos
differential calculus
jee
jee mains
class-12
area of bounded regions
+1
vote
1
answer
If f(2tanx/(1 + tan^2x)) = 1/2(1 + cos2x)(sec^2x + 2tanx) then find f(x).
asked
Mar 27, 2019
in
JEE
by
kratos
jee
jee mains
differential calculus
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