Question

find the derivative using first principle of x3-27​

Answer 1

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Answer:

= 0 + 3x2 = 3x2

Step-by-step explanation:

First we write the formula

f'x lin x→0 = f(x+h) - f(x) / h

now f'x = x3 -27

=limh→0[(x+h)3−27]−(x3−27)h=

limh→0[(x+h)3−27]−(x3−27)h

=limh→0x3+h3+3x2h+3xh2−x3h

=limh→0x3+h3+3x2h+3xh2−x3h

=limh→0h3+3x2h+3xh2h

=limh→0h3+3x2h+3xh2h

=limh→0(h2+3x2+3xh)

=limh→0(h2+3x2+3xh)

=0+3x2+0=3x2=0+3x2+0=3x2

= 0 + 3x2 = 3x2