Lecture - 10 Chapter 13 Limits and Derivatives

MISCELLANEOUS EXERCISE

Find the derivative of the following functions (it is to be understood that a, b, c, d, p, q, r and s are fixed non-zero constants and m and n are integers):

Question 2. \((x+a)\)

Question 3. \((px+q) \left ( \frac{r}{x} + s \right )\)

Question 5. \(\frac{ax+b}{cx+d}\)

Question 6. \(\frac{1+\frac{1}{x}}{1-\frac{1}{x}}\)

Question 7. \(\frac{1}{ax^2+bx+c}\)

Question 8. \(\frac{ax+b}{px^2+qx+r}\)

Question 9. \(\frac{px^2+qx+r}{ax+b}\)

Question 10. \(\frac{a}{x^4}-\frac{b}{x^2}+\cos x\)

Question 11. \(4 \sqrt{x}-2\)

Question 15. \(\cosec x \cot x\)

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Question 16. \(\frac{\cos x}{1+ \sin x}\)

Question 17. \(\frac{\sin x + \cos x}{\sin x – \cos x}\)

Question 18. \(\frac{\sec x – 1}{\sec x + 1}\)

Question 20. \(\frac{a+b \sin x}{c + d \cos x}\)

Question 22. \(x^4(5 \sin x – 3 \cos x)\)

Question 23. \((x^2+1) \cos x\)

Question 24. \((ax^2+ \sin x)(p + q \cos x)\)

Question 25. \((x + \cos x)(x – \tan x)\)

Question 26. \(\frac{4x+5 \sin x}{3x+8 \cos x}\)

Question 27. \(\frac{x^2 \cos \left ( \frac{\pi}{4} \right ) }{\sin x}\)

Question 28. \(\frac{x}{1+ \tan x}\)

Question 29. \((x + \sec x)(x – \tan x)\)

Lecture 10 Class 11 Limits and Derivatives

Lecture - 10 Chapter 13 Limits and Derivatives

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