Question

Simplify the expression.
7 sinh(ln t)

Answer 1

I'd suggest you look up the definition of the hyperbolic sine as a function of the variable x. It involves the exponential function.

Once you have that definition, replace each occurrence of x with ln t and simplify.

Note that e^ln p = p (as an example).

Finally, multiply your result by 7 and you'll be done.

Answer 2

I approached the problem a different way. I used the chain rule.
f(t)=sinh(t)
g(t)=ln(t)
f'(t)=cosh(t)
g'(t)=1/t
So that would give me --> 7cosh(lnt)*1/x because of the fact that the chain rule states that f'g(x)*g'(x). I do not know if this is correct though.

Answer 3

oh sorry i accidentally put x as the denominator, but it's supposed to be t

Answer 4

the directions did not say to take the derivative , though