Exercise 5.4 & 5.5 Continuity And Differentiability Class 12 Maths Chapter 5

Topics/Questions discussed in this video:

In this lecture, I am discussing few questions based on derivatives of logarithmic and exponential functions. Also, when and how to use Logarithms in Differentiation?


Differentiate the following w.r.t. x:

Question 1. \frac{e^x}{\sin x}
Question 2. e^{\sin^{-1}x}
Question 3. e^{x^3}
Question 4. \sin(\tan^{-1} e^{-x})
Question 5. \log (\cos e^x)
Question 6. e^x + e^{x^2} +...+ e^{x^5}
Question 7. \sqrt{e^{\sqrt{x}}}, x>0
Question 8. \log(\log x), x>1
Question 9. \frac{\cos x}{\log x}, x>0
Question 10. \cos (\log x + e^x), x>0

NCERT EXERCISE 5.5 (Logarithmic Differentiation)

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

Question 1. \cos x. \cos 2x. \cos 3x

Question 2. \sqrt{ \frac{(x-1)(x-2)}{(x-3)(x-4)(x-5)} }

Question 3. (\log x)^{\cos x}

Agam Sir

Agam Sir


Ashish Kumar a.k.a Agam Sir has vast experience of 12+ years of teaching Mathematics and Physics. He has skills (academic and vocational) that go with working alongside people, especially young people, their parent(s) and the institutes that works with him. He always seek to be an agent of positive change and progression, a mentor/ trainer/ educator for learners/students, seeing that their needs are ideally met.