Mathematics

Problem

## Miscellaneous Exercise on Chapter 12 1. Find the derivative of the following functions from first principle: (i)

-x

(ii)

(-x)^{-1}

(iii)

\sin (x+1)

(iv)

\cos \left(x-\frac{\pi}{8}\right)

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): (i)

-x

(ii)

(-x)^{-1}

(iii)

\sin (x+1)

(iv)

\cos \left(x-\frac{\pi}{8}\right)