Question

How do you find the derivative of `f(t) = (4t^4 + 1 / 3t^3 + 1) ^4`?

Answer 1

Refer to explanation

Explanation:

Hence `f(t) = (4t^4 + 1 / 3t^3 + 1) ^4` the derivative is

`(df(t))/dt = 4*(4t^4 + 1 / 3t^3 + 1) ^3*(16t^3+t^2)`

The derivative of function with formula `(f(x))^n` where n integer

is `(df(t))/dt=n*(f(x))^(n-1)*f'(x)`