Question

Differentiate the function.
F(t) = ln((4t + 1)^4)/((4t − 1)^5)
Will fan and medal!!!

Answer 1

\[f(t)=\ln((4t+1)^4)\div ((4t-1)^5)\]

Answer 2

first off, apply ln (a/b) = lna - ln b
then take derivative term by term.

Answer 3

like this, ln(4t+1)^4-ln(4-1)^5 @Loser66

Answer 4

yes, then ln a^2 = 2lna , apply that rule to take down the exponent,

Answer 5

3ln16-4ln20 ????@Loser66

Answer 6

I don't know what you mean, take second step
\[ln(4t+1)^4 = 4ln(4t+1)\]
then take derivative of this term
do the same with the second term.

Answer 7

oh yes, since derivative of this term is 16/(4t+1)
and the second one is 20/ (4t+1)
so, the answer should be -4/(4t+1)