Question

What is the value of c 4x^3+13x^2-5x+c

Answer 1

c - 5 x + 13 x ² + 4 x ³

Explanation:

First, we have to evaluate the function at x = 0. Like " f (x) = 4 x ³ + 13 x ² - 5 x + c.

Then we have to differentiate like " f (0) = c.

After that, we evaluate the function again at x = 0. Like this "f ' (x) = 12 x ² + 26 x - 5.

Then, we differentiate again like " f ' (0) = -5

We have to keep repeating and evaluate the function at x = 0 like this " f " (x) = 24 x + 26"

We have to repeat and differentiate like this " f " (0) = 26.

Now, we substitute x = 0, like this "f ⁽³⁾(x) = 24

After that, we have to list the values we found "f ⁽³⁾(x) = 24"

Use the definition "f (0) = c , f ' (0) = - 5 , f " (0) = 26 , f ⁽³⁾ (0) = 24

Simplify like "c - 5 x + 26 x x ² + 24

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2 ! 3 ! x x ³

Then, your solution is c - 5 x + 13 x ² + 4 x ³!

Hope this helps! :)