English
Tamil Nadu Board of Secondary EducationHSC Science Class 11

Find the derivatives of the following functions with respect to corresponding independent variables: g(t) = 4 sec t + tan t

Advertisements
Advertisements

Question

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

g(t) = 4 sec t + tan t

Sum
Advertisements

Solution

g{t) = 4 sec t + tan t

g'(t) = 4(sec t tan t) + sec2t

= 4sec t tan t + sec2t

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 6 | Page 160

RELATED QUESTIONS

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:

y = (x2 + 5) log(1 + x) e–3x 


Differentiate the following:
y = cos (tan x)


Differentiate the following:
F(x) = (x3 + 4x)7


Differentiate the following:

f(x) = `x/sqrt(7 - 3x)`


Differentiate the following:
y = tan (cos x)


Differentiate the following:
y = `sqrt(1 + 2tanx)`


Differentiate the following:
y = sin2(cos kx)


Differentiate the following:
y = (1 + cos2)6


Find the derivatives of the following:
y = `x^(cosx)`


Find the derivatives of the following:

`cos[2tan^-1 sqrt((1 - x)/(1 + x))]`


Find the derivatives of the following:

x = `"a" cos^3"t"` ; y = `"a" sin^3"t"`


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:

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`


Find the derivatives of the following:

If x = a(θ + sin θ), y = a(1 – cos θ) then prove that at θ = `pi/2`, yn = `1/"a"`


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 f(x) = x tan-1x then f'(1) 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×