# Hyperbolic Functions : Numerical Values (11 Problems), Limits (9 Problems) and Derivatives (12 Problems)

Find the numerical version of each expression

1) sinh 0

2) cosh 0

3) tanh 0

4) tanh1

5) sinh1

6) cosh1

7) sech 0

8) sinh(ln 2)

9) cosh(ln3)

10) cosh^-1 1

11) sinh^-1 1

Use definitions of hyperbolic functions to find each.

1) lim as x approached infinity tanh x

2) lim as x approached infinity sinh x

3) lim as x approached infinity sech x

4) lim as x approached infinity coth x

5) lim as x approached - infinity csch x

6) lim as x approached - infinity sinh x

7) lim as x approached - infinity tanh x

8) lim as x approached 0+ coth x

9) lim as x approached 0- coth x

Find the derivative

1) f(x)= tanh 4x

2) f(x)=xcoshx

3) h(x)=sinh(x^2)

4) g(x) = (1-cosh x) / (1+cosh x)

5) h(t) = coth(SQRT 1+t^2)

6) h(t)=tanh(e^t)

7) y=e^(cosh(3x))

8) y=tanh^-1 * (SQRT x)

9) f(t)=ln(sinh t)

10) f(x) = sinh x * (tanh x)

11) y=sinh(cosh x)

12) y=x tanh^-1 * (x) + ln(SQRT(1-x^2))

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https://brainmass.com/math/derivatives/hyperbolic-functions-numerical-values-11-problems-limits-9-problems-and-derivatives-12-problems-63469

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Thirty-two hyperbola problems are solved. The solution is detailed and well presented. The response was given a rating of "5/5" by the student who originally posted the question.[Editors Note: This is one of the best hyperbolic functions solution that h ave seen.]