The second derivative of 7x⁴ + 6x³ + 5x + 3 is A)7x³ + 6x² + 5. B)28x³ + 18x² + 5x + 3. C)28x³ + 18x² + 5. D)84x²+ 36x. E)None of the above

Question

Quizplus · Accepted Answer

We can find the second derivative of the given function by taking the derivative of the first derivative:

f(x) = 7xS1U1P14S1S1P0 + 6xS1U1P13S1S1P0 + 5x + 3
f'(x) = 98xS1U1P13S1S1P0 + 78xS1U1P12S1S1P0 + 5
f''(x) = 98 * S2U1P14S1S1P0(13) * xS1U1P12S1S1P0 + 78 * S2U1P13S1S1P0(12) * x + 0

Simplifying and rewriting the answer using the standard notation, we get:

f''(x) = 84xS1U1P12S1S1P0 + 36x

Therefore, the correct answer is D.

The Second Derivative of 7x4 + 6x3 + 5x

The Second Derivative of 7x⁴ + 6x³ + 5x