Math, asked by PragyaTbia, 1 year ago

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

Answers

Answered by SahilChandravanshi
5
hope this will help u.. :-)
Attachments:
Answered by amitnrw
1

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

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