Question

differentiate from first principle
A)Sinx​

Answer 1

Answer:

cos

Step-by-step explanation:

f (x) = sinx

f(x+h) =sin (x+h)

by first principle

f'(x) =lim f( x+h ) - f(x) /h

h->0

lim

h->0 sin( x+h )- sin h / h

lim 2cos ( x+h/2) . sin( h/2)/2

h->0

2 lim cos (x+ h/2). lim sin h/2/h

h->0 h->0

= 2.cos.1/2

= f'(x) = cos