English
Tamil Nadu Board of Secondary EducationHSC Science Class 11

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

Advertisements
Advertisements

Question

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

y = `tan x/x`

Sum
Advertisements

Solution

y = `tanx/x`

`("d"y)/("d"x) = (x * sec^2x - tan x * 1)/x^2`

`("d"y)/("d"x) = (x sec^2x - tan x)/x^2`

shaalaa.com
Differentiation Rules
  Is there an error in this question or solution?
Chapter 10: Differential Calculus - Differentiability and Methods of Differentiation - Exercise 10.2 [Page 160]

APPEARS IN

Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 11 TN Board
Chapter 10 Differential Calculus - Differentiability and Methods of Differentiation
Exercise 10.2 | Q 8 | Page 160

RELATED QUESTIONS

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:

g(t) = 4 sec t + tan t


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

y = `sinx/x^2`


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 = `"e"^sqrt(x)`


Differentiate the following:
y = e–mx 


Differentiate the following:
y = 4 sec 5x


Differentiate the following:
y = sin3x + cos3x


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


Differentiate the following:

y = `sin^-1 ((1 - x^2)/(1 + x^2))`


Find the derivatives of the following:

`tan^-1sqrt((1 - cos x)/(1 + cos x)` 


Find the derivatives of the following:

x = `(1 - "t"^2)/(1 + "t"^2)`, y = `(2"t")/(1 + "t"^2)`


Find the derivatives of the following:

`tan^-1 ((cos x + sin x)/(cos x - sin x))`


Find the derivatives of the following:

If y = `(cos^-1 x)^2`, prove that `(1 - x^2) ("d"^2y)/("d"x)^2 - x ("d"y)/("d"x) - 2` = 0. Hence find y2 when x = 0


Choose the correct alternative:

If y = cos (sin x2), then `("d"y)/("d"x)` at x = `sqrt(pi/2)` is


Choose the correct alternative:

If the derivative of (ax – 5)e3x at x = 0 is – 13, then the value of a is


Choose the correct alternative:

If x = a sin θ and y = b cos θ, then `("d"^2y)/("d"x^2)` is


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×