Find the derivatives of the following: If y = sin–1x then find y” - Mathematics

Find the derivatives of the following:

If y = sin^–1x then find y”

बेरीज

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)`

shaalaa.com

Differentiation Rules

या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?

पाठ 10: Differential Calculus - Differentiability and Methods of Differentiation - Exercise 10.4 [पृष्ठ १७६]

पाठ 10 Differential Calculus - Differentiability and Methods of Differentiation
Exercise 10.4 | Q 23 | पृष्ठ १७६

Find the derivatives of the following functions with respect to corresponding independent variables:

g(t) = 4 sec t + tan t

Find the derivatives of the following functions with respect to corresponding independent variables:

y = x sin x cos x

Find the derivatives of the following functions with respect to corresponding independent variables:

y = sin x⁰

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 = `root(3)(1 + x^3)`

Differentiate the following:

f(t) = `root(3)(1 + tan "t")`

Differentiate the following:
y = (2x – 5)⁴ (8x² – 5)^–3

Differentiate the following:

y = `(sin^2x)/cos x`

Differentiate the following:

y = `5^((-1)/x)`

Differentiate the following:
y = sin³x + cos³x

Differentiate the following:
y = `sqrt(x +sqrt(x)`

Differentiate the following:
y = `sin(tan(sqrt(sinx)))`

Find the derivatives of the following:
tan (x + y) + tan (x – y) = x

Find the derivatives of the following:

Find the derivative of sin x² with respect to x²

Find the derivatives of the following:

If u = `tan^-1 (sqrt(1 + x^2) - 1)/x` and v = `tan^-1 x`, find `("d"u)/("d"v)`