Derivative: f(x) = 1.8x^4 - 9.1x^3 + 5x - 4

[kjones]

f(x) = 1.8x^4 - 9.1x^3 + 5x - 4

Sketch the graph of the function, the first derivative, and the second derivative showing all relevant features.

I also need to find min and max.

Thanks,
K

 

[daon]

This is a typical, straight forward question if you follow the necessary steps. What have you done so far?

 

[kjones]

I have entered the function into my TI-83 as a Y1 = to see the graph.

What I need help on is the first derivative and the seoncd derivative showing the features.

Can you walk me through that, please?

K

 

[kjones]

And I show f'(x) = 7.2x^3 - 27.3X^2 + 5 - 0

Right?

K

 

[stapel]

What I need help on is the first derivative and the seoncd derivative showing the features.

To differentiate polynomial terms, use the following rule:

. . . . .y = axⁿ

. . . . .y' = anx^n-1

Use the same rule to differentiate y' to find the second derivative, y".

I don't know what your book means by "the features". Please define, showing how far you've gotten and saying where you're stuck. Thank you.

Eliz.

 

[daon]

And I show f'(x) = 7.2x^3 - 27.3X^2 + 5 - 0

Right?

K

Correct, but drop the zero.

Set this equal to zero and solve for x to find relative maximums and minimums.

 

[kjones]

THANKS TO YOU ALL

I appreciate this service....