Question

To simplify the given function
f′′(x)=(x2+4)2−4+(x2+4)316x2

Answer 1

To simplify the given function f′′(x)=(x²+4)²-4+(x²+4)/(3*16x²), expand the function, combine like terms, and simplify.

Step-by-step explanation:

To simplify the given function f′′(x)=(x²+4)²-4+(x²+4)/(3*16x²)

1. Expand the function and distribute the exponent: f''(x) = (x⁴ + 8x² + 16) - 4 + (x² + 4)/(3*16x²)
2. Simplify the terms: f''(x) = x⁴ + 8x² + 16 - 4 + (x² + 4)/(3*16x²)
3. Combine like terms, if possible: f''(x) = x⁴ + 8x² + 12 + (x² + 4)/(3*16x²)