1 answer

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

Question:

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

Answers

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)#

.

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