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Questions form NCERT based on First Principle

NCERT EXERCISE 13.2 |

** Question 4. **Find the derivative of the following functions from first principle:**(i).** x^3-27**(ii).** (x-1)(x-3)**(iii).** \frac{1}{x^2}**(iv).** \frac{x+1}{x-1}

MISCELLANEOUS EXERCISE |

**Question 1. **Find the derivative of the following functions from first principle:**(i).** -x **(ii).** (-x)^{-1}

**(iii).** \sin(x+1) **(iv).** \cos (x – \frac{\pi}{8})

**Example 19. **Find the derivative of *f* from the first principle, where *f* is given by**(i).** f(x) = \frac{2x+3}{x-2}**(ii).** f(x) = x+\frac{1}{x}

**Example 20. **Find the derivative of *f*(*x*) from the first principle, where *f*(*x*) is**(i).** \sin x + \cos x**(ii).** x \sin x