Question

what is the second derviteve of f(x)=1-8a^-3

Answer 1

did you find the first derivative?

Answer 2

the first derivative is

f'(x) = -3*-8a^-3-1

the second derivative is

f''(x) = (-3-1)(-3*-8)a^-3-1-1

Answer 3

Uh, shouldn't it be \(1 - 8x^{-3}\)?

Answer 4

i assume it is x not a.
\[f \left( x \right)=1-8x ^{-3}\]
\[f \prime \left( x \right)=0-8\left( -3 \right)x ^{-4}=24x ^{-4}\]
\[f \prime \prime \left( x \right)=24\left( -4 \right)x ^{-5}=-96x ^{-5}\]

Answer 5

If it is a, then a is a constant and the derivative and second derivative are 0.