Find the derivative of the function.

Question

Find the derivative of the function.

h (t ) = (t ⁴ − 1)⁸(t ³ + 1)⁵

^{Thank you.}

Answer 1

h (t ) = (t ⁴ − 1)⁸(t ³ + 1)⁵

^{h'(t) = 4x8(t^3-1)^7(t^3+1)^5 +3x5(t^2+1)(t^4-1)^8}

^{h'(t) = 32(t^3-1)^7(t^3+1)^5 + 15(t^2+1)(t^4-1)^8}