Continuity and Differentiability L7

मत सोच की तेरा सपना क्यों पूरा नहीं होता,
हिम्मत वालों का इरादा कभी अधूरा नहीं होता,
जिस इंसान के कर्म अच्छे होते है,
उसके जीवन में कभी अँधेरा नहीं होता।

Lecture - 7 Chapter 5 Continuity and Differentiability

In this lecture, I am discussing remaining questions from NCERT Exercise 5.5 which are based on logarithmic differentiation.


Questions discussed in this lecture:

NCERT EXERCISE 5.5 (Logarithmic Differentiation)

Differentiate the functions given in Exercises 1 to 11 w.r.t. x.

Question 4. x^x – 2^{\\sin x}

Question 5. (x+3)^2.(x+4)^3.(x+5)^4

Question 6. \left( x + \frac{1}{x} \right)^x + x^{\left( 1 + \frac{1}{x} \right) }

Question 7. (\log x)^x + x^{\log x}

Question 8. (\sin x)^x + \sin^{-1}{\sqrt{x}}

Question 9. x^{\sin x} + (\sin x)^{\cos x}

Question 10. x^{x \cos x} + \frac{x^2 + 1}{x^2 – 1}

Question 11. (x \cos x)^x + (x \sin x)^{\frac{1}{x}}

Advertisements