Find the derivative of the function. $f(t)$ = cosh²(6t² + 3) A) 24t sinh (6t²+ 3) B) 24t cosh (6t² + 3) sinh (6t²+ 3) C) 12t sinh (6t²+ 3) D) 12t cosh (6t² + 3) sinh (6t²+ 3)

Question

Quizplus · Accepted Answer

The derivative of cosh^2(u) is 2*cosh(u)*sinh(u)*du/dt. Here, u = 6t^2 + 3, so du/dt = 12t. Thus, the derivative is 2*cosh(6t^2 + 3)*sinh(6t^2 + 3)*12t = 24t*cosh(6t^2 + 3)*sinh(6t^2 + 3).

Find the Derivative of the Function f(t)f(t)f(t) = Cosh2 (6t2 + 3) A) 24t Sinh (6t2

Find the Derivative of the Function $f(t)$ = Cosh²(6t² + 3)
A) 24t Sinh (6t²