Home
Class 12
MATHS
Find the value of (d)/(dx)(x(e^(x)+e^(4x...

Find the value of `(d)/(dx)(x(e^(x)+e^(4x))/(e^(x)+e^(-2x)))`.

Text Solution

Verified by Experts

The correct Answer is:
`=x.3e^(3x)+e^(3x).1=e^(3x)(3x+1)`
Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise HS (XI) AND WBJEE 2019 (HS (XI) 2019) (GROUP -C)|17 Videos
  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise HS (XI) AND WBJEE 2019 (HS (XI) 2019) (GROUP -D)|8 Videos
  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise HS (XI) AND WBJEE 2019 (HS (XI) 2019) (GROUP -A)|10 Videos
  • METHOD OF SUBSTITUTION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Assertion-Reason Type)|2 Videos
  • ORDER AND DEGREE OF DIFFERENTIAL EQUATION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (E Assertion - Reasion Type )|2 Videos

Similar Questions

Explore conceptually related problems

The value of (d)/(dx)(x^(x)) is -

The value of (d)/(dx) cot x^(@) is -

Evaluate : int (e^(6x)+e^(4x))/(e^(x)+e^(-x)) dx

Find the value of (d)/(dx)[(cos (x - alpha))/(sin x )] .

Evaluate: int(e^(2x)+e^(4x))/(e^x+e^(-x))dx

The value of (d)/(dx)[x(x-1)(x-2)(x-3)] at x = 3 is -

Evaluate : int (2e^(4x)-3e^(2x)+4)/(e^(3x))dx

Differentiate the following functions w.r.t. x : x(e^(x)+e^(3x))/(e^(x)+e^(-x))

Statement-I: int (x+1)/(x(1+xe^(x))^(2))dx=(1)/(1+xe^(x))+log |(xe^(x))/(1+ xe^(x))|+c where c is a real number. Statement-II: (d)/(dx)(xe^(x))=(x+1)e^(x).

(d)/(dx)(x^(x)) is equal to -