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Find from the first principle the derivative of 4x² -2with respect to x. Brailiest will be given please hurry​

2 Answers

5 votes

Answer:

8x

Explanation:

Pls I hope this helps

User Mandar Vaze
by
5.4k points
7 votes

Answer:

8x

Explanation:

Using differentiation from first principles

f'(x) =
lim_(h>0)
(f(x+h)-f(x))/(h)

=
lim_(h>0)
(4(x+h)^2-2-(4x^2-2))/(h)

=
lim_(h>0)
(4x^2+8hx+4h^2-4x^2+2)/(h)

=
lim_(h>0)
(8hx+4h^2)/(h)

=
lim_(h>0)
(4h(2x+h))/(h) ← cancel the h on numerator/denominator

= 4(2x)

= 8x

User Psi
by
5.4k points