Question

Find the derivatives of the function f(t)=cosh2(4t)−sinh2(4t). Simplify your answer completely.

Answer 1

is it

\[\cosh^2(4t)-\sinh^2(4t)\]

Answer 2

yep. sorry.

Answer 3

\[\cosh^2(4t)-\sinh^2(4t)=1\]

Answer 4

oh, haha. I guess that makes sense.

Answer 5

and the derivative of a constant is zero

Answer 6

It said 1 is wrong. Would it be 2sinh(4t)+2cosh(4t)?

Answer 7

I didn't say 1 was the answer

Answer 8

\[\frac{d}{dt}\left[\cosh^2(4t)-\sinh^2(4t)\right]=\frac{d}{dt}[1]=0\]

Answer 9

Ok, so 2cosh(4t)*4sinh(4t)-2sinh(4t)*4cosh(4t)?

Answer 10

which is zero

Answer 11

Ok.