could someone teach me the steps of curve tracing? calculus-wise..

Please do not give copy-paste answers. I don't need technical terms to hurt my mind lol. I appreciate own words :DDD

Note: This is not a riddle :P

Question

could someone teach me the steps of curve tracing? calculus-wise..

Please do not give copy-paste answers. I don't need technical terms to hurt my mind lol. I appreciate own words :DDD

Note: This is not a riddle :P

lgbasallote · Answer

would be appreciated if you state it differential calculus-wise..

apoorvk · Answer

Okay, give us an example equation @lgbasallote , so that we can explain that to you.

lgbasallote · Answer

hmmm well im just reviewing so i dont know any spcific questions.... but i guess i can spout some random variables....

$\mathsf{x^5 + 3x^4 + 5x^3 - 2x^2 - x + 6}$

anonymous · Answer

You are to plot this equation?

anonymous · Answer

What's curve tracing?

lgbasallote · Answer

hmm curve sketching...

lgbasallote · Answer

$\LARGE \mathtt{\text{can you do it ishaan bhaiya??}}$

anonymous · Answer

I can plot quadratic, and some defined functions but this, THIS! is beyond me :(

lgbasallote · Answer

oh...okay...

lgbasallote · Answer

like i said...i spouted random variables....is it impossible?

anonymous · Answer

wait... we can differentiate the equation get the inflection points?

lgbasallote · Answer

i guess just a cubic function like $\mathtt{ 7x^3 + 3x^2 - 2x + 1}$

lgbasallote · Answer

what about in just a cubic function? how to graph it calculus-wise? i think it's more possible

mimi_x3 · Answer

well, for cubic differentiate it then find the stationary points then the point of inflexion..

mimi_x3 · Answer

To determine the nature find the second derivative.

lgbasallote · Answer

and stationary points are....?

mimi_x3 · Answer

stationary points are the maximum and minimum.

mimi_x3 · Answer

like when the points are constant.

lgbasallote · Answer

it's taking the first derivative and finding the value of x right?

lgbasallote · Answer

and inflection point is second derivative?

mimi_x3 · Answer

yeah x and y then to determine the nature you find the second derivative and sub the x and y values in. Then the second derivative is show ifs its a max or min,

mimi_x3 · Answer

i don't think your drawing is write its to the fifth degree..not quartic.

mimi_x3 · Answer

right*

lgbasallote · Answer

second derivative determines maximum and minimum via max -> negative; minimum -> positive..do i have it right?

mimi_x3 · Answer

yeah i guess so..

mimi_x3 · Answer

wait

lgbasallote · Answer

yes?

mimi_x3 · Answer

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