**Difference Quotient Calculator**

Is there a way to get the difference content using TI83 Plus Calculator?

Love

To work

f (x) = 3x 3Ã 42'42x

Calculate the difference

[f (x + h) f'f (x)] / h, hÃ Â Â 0

Is there a formal way to do this with a calculator? If so, what? Thank you very much

Because I made it by hand, I have [(2x 3) + (3hx 2) + (3xh 2) + (h 3) (42h)] / h and I think it's wrong ...

All I know about TI83 is to calculate the derived value of this function. Example: If x = 3 then what is f (x) = 3x iv 3 derived from 42x?

Press the Math button

Eighth arrow: n reduction

to enter

Input: (3x 342x, x, 3) input

Answer = 39.

For your definition of achievable limit values, see ...

Lim h> 0 [3 (x + h) 342 (x + h) 3x 3 + 42x] / hour

= Lim h> 0 [3x 3 + 9x 2h + 9xh 2 + 3h 342x42h3x 2 + 42x] / hour

= Lim j> 0 [9x 2h + 9xh 2 + 3h 342h] / hour

= Moment> 0 [9x 2 + 9xh + 3h 2 42]

Let's take the limit value h> 0 = 9x 2 42

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Is there any way to get the difference quotient using TI83 Plus Calculator?

Love

To work

f (x) = 3x 3Ã 42'42x

Calculate the difference

[f (x + h) f'f (x)] / h, hÃ Â Â 0

Is there a formal way to do this with a calculator? If so, what? Thank you very much

Because I made it by hand, I have [(2x 3) + (3hx 2) + (3xh 2) + (h 3) (42h)] / h and I think it's wrong ...

Solution: Given f (x) = 3xÂ³ ÂˆÂ '42x

Let f (x + h = 3 (x + h)) 42 '42 (x + h)

We know (a + b) 3 = a 3 + b 3 + 3a 2b + 3b 2a

=> 3 (xÃ‚Â³ + hÃ³ + 3xÃ‚Â²h + 3xhÃ‚Â²) 42 '42x42h)

(3xÃ‚Â³ Â''42x)] / hour

= (9xÃÂ²h + 9xhÃ‚Â² + 3hÃ‚Â³ Â42h) / h = h (9xÃÂ² + 9xh + 3hÃ‚Â² 42'42) / hour

= 9xÃ‚Â² + 9xh + 3hÃ‚Â² 42'42

Yes

h> 0

So we have

[f (x + h) Â 'f (x)] / h = 9xÂ² + 9x 0 + 3042

[f (x + h) Â 'f (x)] / h = 9x²42