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Alexandra [31]
1 year ago
11

Which of these polynomial functions has the largest second derivative at X=0?

Mathematics
1 answer:
balandron [24]1 year ago
5 0

The polynomial functions that has the largest second derivative at x = 0 is; y = x³ + 2x² - 5x + 10

<h3>How to find the second derivative of a Polynomial?</h3>

The second derivative of a function is simply defined as the derivative of the function's derivative.

Thus;

A) If y = 5x⁵ - x³ + 4x

dy/dx = 25x⁴ - 3x² + 4

d²y/dx² = 100x³ - 6x

Thus at x = 0, we have;

d²y/dx² = 0

B) y = 3x⁴ + x² + 16

dy/dx = 12x³ + 2x

d²y/dx² = 36x² + 2

At x = 0, the second derivative is;

d²y/dx² = 2

C) y = 4x⁶ + x² - 1

dy/dx = 24x⁵ + 2x - 1

d²y/dx² = 48x⁴ + 2

At x = 0, the second derivative is;

d²y/dx² = 2

D) y = x³ + 2x² - 5x + 10

dy/dx = 3x² + 4x - 5

d²y/dx² = 6x + 4

At x = 0, the second derivative is;

d²y/dx² = 4

E) y = 10x⁵ + 3x³ - 7x + 2

dy/dx = 50x⁴ + 9x² - 7

d²y/dx² = 200x³ + 18x

At x = 0,  the second derivative is;

d²y/dx² = 0

Read more about Second derivative at; brainly.com/question/2154132

#SPJ1

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\frac{1}{a}=a^{-1}

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Which of the following options have the same value as 30\%30%30, percent of 818181?
Nataly_w [17]

Answer:

Option B is correct = 0.3 \times 81

Step-by-step explanation:

<u>The complete question is:</u> Which of the following options have the same value as 30% of 81?

Group of choices is:

(A) \frac{30}{100}\times 81 \times 100

(B) 0.3 \times 81

(C) 0.03 \times 81

(D) \frac{3}{10}\times 81 \times 10

(E) 30 \times 81

Now, the expression given to us is 30% of 81.

Simplifying the above expression we get;

   30% of 81  =  \frac{30}{100} \times 81

                     =  \frac{3}{10} \times 81  =  0.3 \times 81

Now, we will solve each of the given options and then see which option matches with our calculation.

Option (A) is given;

\frac{30}{100}\times 81 \times 100  =  30 \times 81

This doesn't match with our answer, so this option is not correct.

Option (B) is given;

0.3 \times 81  

<u><em>This matches with our answer, so this option is correct.</em></u>

Option (C) is given;

0.03 \times 81  

This doesn't match with our answer, so this option is not correct.

Option (D) is given;

\frac{3}{10}\times 81 \times 10  =  3 \times 81

This doesn't match with our answer, so this option is not correct.

Option (E) is given;

30 \times 81  

This doesn't match with our answer, so this option is not correct.

6 0
4 years ago
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