Evaluation of the Derivative of a Function

[arctic barn]

I've gone through my process over and over again and I see no reason why this wouldn't be the result... help would be very much appreciated

[crude sorrel]

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[arctic barn]

This I believe is the derivative without simplification

[distant hollow]

then sub x = 16

you shouldn't get /100

there's no 5

[arctic barn]

Because of the sandwich rule

Idk how you call it in English

So a ratio over something

[distant hollow]

f'(16) = ((4+3)(1/8) - (1)(1/8))/(7²) = (6/8)/49 = 3/(4×49) ≠ 3/100

i think it's something like

3/196

how did you get 3/100 tho

[arctic barn]

My bad

Elevated each term before

So the square before getting the product

So 16 + 9

[distant hollow]

no

(4+3)² = 7² = 49

do what in group first

remember
group -> exponent -> multiply -> add

[arctic barn]

Yeh

True

Thanks

[distant hollow]

also
(x+y)² ≠ x²+y²

[arctic barn]

Yeh