Question

H(s) = (s^4-5)^2 derivative

Answer 1

If h(s) = (s ⁴ - 5)², then by the chain and power rule,

h'(s) = 2 (s ⁴ - 5) • (s ⁴ - 5)'

By the power rule,

(s ⁴ - 5)' = 4s ³

so that

h'(s) = 8s ³ (s ⁴ - 5)

… = 8s ⁷ - 40s ³