Question

Find the derivative of the given functions from first principle: $\frac{1}{x^{2} }$

Answer 1

hope your will help u... :-)

Answer 2

Answer:

-2/x³

Step-by-step explanation:

f(x) = 1/x²

f'(x)  = Lim h- 0    (f(x + h) - f(x) )/ h

=> f'(x)  = Lim h- 0    (1/(x + h)² - 1/x² )/ h

=> f'(x)  = Lim h- 0    (x² - (x + h)² )/ (h((x + h)²x²)

=> f'(x)  = Lim h- 0    (-h² - 2hx )/ (h((x + h)²x²)

=> f'(x)  = Lim h- 0    (-h - 2x )/ ((x + h)²x²)

putting h = 0

=> f'(x)  = -2x/ (( x²)(x²) )

=>  f'(x)  = -2/x³