Home
Class 12
MATHS
(d)/(dx) {Sec^(-1) e ^(x) }=...

`(d)/(dx) {Sec^(-1) e ^(x) }=`

A

`(1)/(sqrt(e ^(2x )-1))`

B

`(1)/(e ^(x)sqrt(e ^(2x )-1))`

C

`(1)/(e ^(x) sqrt(e ^(x) -1))`

D

`(e ^(x))/( sqrt(e ^(2x) -1))`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B|114 Videos

  • DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1C|3 Videos

  • DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise SET-4|6 Videos

  • DIFFERENTIAL EQUATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 2|15 Videos

  • DIRECTION COSINES AND DIRECTION RATIOS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET -2|3 Videos

Similar Questions

Explore conceptually related problems

(d)/(dx) {Sec ^(-1) ""(1)/( 1- 2x ^(2))}=

(d)/(dx) {Tan ^(-1)( (x)/(1 - sqrt(1 + x ^(2))))}=

(d)/(dx ) {Sin ^(-1) ""(x)/( sqrt(1+ x^(2)))}=

(d)/(dx) {Sin ^(-1) ""(2x)/(1+ x ^(2))}=

(d)/(dx) {Tan ^(-1)((x)/(1 + sqrt (1- x ^(2))))}=

(d)/(dx) {Cos ^(-1) ""(1-x ^(2))/(1+ x ^(2))}=

(d)/(dx) {Cot ^(-1) ((1+x)/(1 -x))}=

(d)/(dx) {Tan ^(-1) ((1+x)/(1- x))}=

(d)/(dx) {Tan ^(-1) ((x-a)/(1 + ax ))}=

(d)/(dx) {Tan ^(-1) ""(2x)/(1- x ^(2))}=