Advertisements
Advertisements
प्रश्न
Find the derivatives of the following:
If y = sin–1x then find y”
Advertisements
उत्तर
y = sin–1x
y" = `1/sqrt(1 - x^2)`
y" = `(1 - x^2)^(- 1/2)`
y" = `- 1/2 (1 - x^2)^(- 1/2 - 1) (0 - 2x)`
y" = `- 1/2 (1 - x^2)^(- 3/2) xx - 2x`
y" = `x/(1 - x^2)^(3/2)`
APPEARS IN
संबंधित प्रश्न
Find the derivatives of the following functions with respect to corresponding independent variables:
y = sin x + cos x
Find the derivatives of the following functions with respect to corresponding independent variables:
y = `tan x/x`
Find the derivatives of the following functions with respect to corresponding independent variables:
y = `sinx/(1 + cosx)`
Find the derivatives of the following functions with respect to corresponding independent variables:
y = `sinx/x^2`
Differentiate the following:
y = (x2 + 4x + 6)5
Differentiate the following:
y = tan 3x
Differentiate the following:
y = cos (tan x)
Differentiate the following:
h(t) = `("t" - 1/"t")^(3/2)`
Differentiate the following:
s(t) = `root(4)(("t"^3 + 1)/("t"^3 - 1)`
Differentiate the following:
y = tan (cos x)
Differentiate the following:
y = `(sin^2x)/cos x`
Differentiate the following:
y = `sqrt(x +sqrt(x)`
Differentiate the following:
y = `"e"^(xcosx)`
Find the derivatives of the following:
`x^2/"a"^2 + y^2/"b"^2` = 1
Find the derivatives of the following:
`tan^-1sqrt((1 - cos x)/(1 + cos x)`
Find the derivatives of the following:
Find the derivative of sin x2 with respect to x2
Find the derivatives of the following:
Find the derivative of `sin^-1 ((2x)/(1 + x^2))` with respect to `tan^-1 x`
Choose the correct alternative:
If y = cos (sin x2), then `("d"y)/("d"x)` at x = `sqrt(pi/2)` is
Choose the correct alternative:
The differential coefficient of `log_10 x` with respect to `log_x 10` is
