Advertisements
Advertisements
Question
Find the derivatives of the following:
If y = sin–1x then find y”
Solution
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
RELATED QUESTIONS
Find the derivatives of the following functions with respect to corresponding independent variables:
f(x) = x – 3 sin x
Find the derivatives of the following functions with respect to corresponding independent variables:
f(x) = x sin x
Find the derivatives of the following functions with respect to corresponding independent variables:
y = ex sin 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 = `x/(sin x + cosx)`
Find the derivatives of the following functions with respect to corresponding independent variables:
Draw the function f'(x) if f(x) = 2x2 – 5x + 3
Differentiate the following:
y = cos (tan x)
Differentiate the following:
h(t) = `("t" - 1/"t")^(3/2)`
Differentiate the following:
y = tan (cos x)
Differentiate the following:
y = `(sin^2x)/cos x`
Differentiate the following:
y = sin3x + cos3x
Differentiate the following:
y = (1 + cos2)6
Differentiate the following:
y = `sqrt(x +sqrt(x)`
Find the derivatives of the following:
y = `x^(cosx)`
Find the derivatives of the following:
If cos(xy) = x, show that `(-(1 + ysin(xy)))/(xsiny)`
Find the derivatives of the following:
Find the derivative of sin x2 with respect to x2
Choose the correct alternative:
If y = `1/4 u^4`, u = `2/3 x^3 + 5`, then `("d"y)/("d"x)` is
Choose the correct alternative:
The differential coefficient of `log_10 x` with respect to `log_x 10` is
Choose the correct alternative:
The number of points in R in which the function f(x) = |x – 1| + |x – 3| + sin x is not differentiable, is