Question

Find the derivative of the given functions from first principle: $x^{3} -27$

Answer 1

hope this will help u.. :-)

Answer 2

Answer:

3x²

Step-by-step explanation:

f(x) = x³ - 27

f'(x) = $\lim_{h \to 0} \frac{f(x+h) - f(x)}{h}$

= ( (x + h)³ - 27   -  (x³ - 27) )/ h

=  ((x + h)³ - x³ ) /h

= (x³ + h³  + 3x²h + 3xh²  - x³)/h

= (3x²h + 3xh²  + h³)/h

= 3x² + 3xh + h²

putting h = 0

= 3x²

f'(x) = 3x²