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Find the derivative of the function `h(t)=(t^3/(t^2+5))^3`.
`h'(t)=`
To find the derivative of this complex function, consider using a combination of differentiation rules. The function has a power structure on the outside with a fraction inside. You may want to apply the chain rule, along with the quotient rule or the power rule, depending on how you approach the inner fraction.
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Box 1: Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c
Be sure your variables match those in the question
`(3 t^8(t^2+15))/(t^2+5)^4`