d/dx {sin^(-1) ((3x)/2-x^(3)/2)} =...

`d/dx {sin^(-1) ((3x)/2-x^(3)/2)} =`

A

`3/(sqrt(4-x^(2))`

B

`(-3)/(sqrt(4-x^(2))`

C

`1/(sqrt(4-x^(2))`

D

`(-1)/(sqrt(4-x^(2))`

Text Solution

Verified by Experts

The correct Answer is:

A

Promotional Banner

Promotional Banner

Topper's Solved these Questions

DIFFERENTIAL EQUATIONS
HIMALAYA PUBLICATION|Exercise QUESTION BANK|206 Videos
ELLIPSE
HIMALAYA PUBLICATION|Exercise QUESTION BANK|172 Videos

HIMALAYA PUBLICATION-DIFFERENTIATION-QUESTION BANK

d/dx [sin^(2) cot^(-1) sqrt((1+x)/(1-x))] =
Text Solution
|
If y sin x = x + y, then (dy/dx)(x=0) =
Text Solution
|
d/dx {sin^(-1) ((3x)/2-x^(3)/2)} =
Text Solution
|
If x^(x) = y^(y), then (dy)/(dx) is
Text Solution
|
d/dx [cos^(-1) (4x^(3)/27-x)]=
Text Solution
|
d/dx (x^(x)) =
Text Solution
|
Derivative of sin^(2)x w.r.t (log x)^(2) is
Text Solution
|
d/dx (cos x^(o)) =
Text Solution
|
If sin x = (2t)/(1+t^(2)), tan y = (2t)/(1-t^(2)), then (dy)/(dx) is e...
Text Solution
|
d/dx (cos^(-1)x + sin ^(-1) sqrt(1-x^(2))) =
Text Solution
|
The derivative of sin^(-1) x w.r.t cos^(-1) (sqrt(1-x^(2))) is
Text Solution
|
If y = cot^(-1) (tan(pi/2-x)), dy/dx =
Text Solution
|
If y = 2^(2^(x)) then dy/dx =
Text Solution
|
If xy = (x+y)^(n) and dy/dx = y/x, then n =
Text Solution
|
If 2^(x)+2^(y)=2^(x+y), then (dy)/(dx) is
Text Solution
|
If x = (2t)/(1+t^(2)), y = (1-t^(2))/(1+t^(2)) then dy/dx =
Text Solution
|
Let f(x) = e^(x), g(x) = sin^(-1) x and h(x) = f(g(x)) then (h^(')(x))...
Text Solution
|
If f(x)= sqrt(ax) + a^(2)/(sqrt(ax) then f^(')(a) =
Text Solution
|
If f(x) {((x-1)/(2x^(2)-7x+5), x ne 1),(-1/3, x = 1):} then f^(')(1) =
Text Solution
|
If f(x) = x/(1+|x|) for x in R, then f^(')(0) =
Text Solution
|