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Recent questions tagged derivatives
+3
votes
1
answer
Find lim(x →4) (x^3 - 64)/(x^2 - 16)
asked
Apr 7, 2019
in
Class 11
by
kratos
class-11
limits
derivatives
+3
votes
1
answer
Evaluate the given limit: lim(x→0)cosx/π-x
asked
Apr 5, 2019
in
Class 11
by
kratos
class-11
limits
derivatives
+1
vote
1
answer
If a = x sinθ + y cosθc and b = x cosθ – y sinθi then prove that, d^3x/dθ^3 . d^2y/dθ^2 – d^2y/dθ^2. d^3y/dθ^3 = a^2 + b^2.
asked
Apr 5, 2019
in
JEE
by
kratos
jee
differentiation
derivatives
jee mains
limit
class-12
differentiability
continuity
+3
votes
1
answer
Differentiate the following with respect to x (i) y = (ax)^m + b^m (ii) y = x^3 + 4x^2 + 7x + 2
asked
Apr 5, 2019
in
Class 11
by
kratos
class-11
limits
derivatives
+1
vote
1
answer
Compute: lim(x→3) (e^x - e^3)/(x - 3)
asked
Apr 4, 2019
in
Class 11
by
kratos
class-11
derivatives
limits
+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
Evaluate ∫cosecx[cosecx + cotx]dx.
asked
Apr 4, 2019
in
JEE
by
kratos
indefinite integral
limits
class-11
definite integration
jee
derivatives
jee mains
class-12
+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
+3
votes
1
answer
Evaluate the following limits, if exist. lim(x→0) (e^x-e^5)/(x-5)
asked
Apr 2, 2019
in
Class 11
by
kratos
class-11
limits
derivatives
+3
votes
1
answer
Discuss the limit of the function f(x) = x + 10 at x = 5.
asked
Mar 29, 2019
in
Class 11
by
kratos
class-11
limits
derivatives
+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
+2
votes
1
answer
Find the value of θ, if, cos θ / (1- sinθ) + cos θ/ (1+ sin θ) = 4
asked
Mar 27, 2019
in
Class 12
by
kratos
trigonometry
class-8
class-11
derivatives
transformation formulae
class-10
class-12
+2
votes
1
answer
A ladder 20 ft long leans against a vertical wall. The top end slides downwards at the rate of 2 ft per second.
asked
Mar 25, 2019
in
JEE
by
kratos
jee mains 2019
class-12
application of derivative
derivatives
+1
vote
1
answer
Evaluate: lim(x→0)[(1 - cosx)/x]
asked
Mar 25, 2019
in
Class 11
by
kratos
limits and derivatives
class-11
limits
derivatives
+2
votes
1
answer
Find lim(x →a) (x√x - a√a)/(x - a)
asked
Mar 24, 2019
in
JEE
by
kratos
limits
class-11
jee
derivatives
jee mains
+1
vote
1
answer
Find lim(x→0) f(x) and lim(x→1) f(x) if f(x) = {(2x + 3, x ≤ 0), (3(x + 1), x > 0)
asked
Mar 24, 2019
in
Class 11
by
kratos
class-11
limits
derivatives
+3
votes
1
answer
A particle moves on the curve x = 2t^2, y = t^2 - 4t, z = 3t - 5 where t is the time. Find the components of velocity and acceleration at time t = 1
asked
Mar 21, 2019
in
JEE
by
kratos
algebraic expressions
factorisation
class-8
oscillations
class-11
jee
derivatives
laplace transform
motion in a plain
jee mains
class-12
+3
votes
1
answer
If (a + bx)e^y/x = x then 1/y^2 (xy1 – y)^2 =
asked
Mar 21, 2019
in
JEE
by
kratos
class-12
jee
jee mains
derivatives
+1
vote
1
answer
Differentiate the following with respect to x (i) y = (x - 1/x) (x^2 - 1/x^2)
asked
Mar 19, 2019
in
Class 11
by
kratos
class-11
limits
derivatives
+2
votes
1
answer
A man 160 cm tall walks away from a source of light situated at the top of a pole 6 m high, at the rate of 1.1m/sec.
asked
Mar 19, 2019
in
Class 12
by
kratos
class-12
derivatives
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