3.11 Homework - Hyperbolic Functions (Homework)

7. [-/1 Points] DETAILS SCALCET9 3.11.013. MY NOTES ASK YOUR TEACHER Prove the identity. cosh(x) + sinh(x) = ex First, use the definitions of the hyperbolic functions, and then simplify by combining the exponential terms. cosh(x) + sinh(x) = = (ex + e-x) + 2( = ex Need Help? Read It Watch It 8. [-/1 Points] DETAILS SCALCET9 3.11.025. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER If cosh(x) = - 23 and x > 0, find the values of the other hyperbolic functions at x. 24 sinh(x) = tanh(x) = coth(x) = sech(x) = csch(x) = Need Help? Read It Watch It9. [I1 Points] SCALCETB 3.11.035. ASK YOUR TEACHER PRACTICE ANOTHER Find the derivative. x) = cosh(4x) rm : Need Help? _7 1D. {11 Points] SCALCETB 3'11'037' MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the derivative. h(x) : 5mm\") h'(x) : Need Help? 11. [-/1 Points] DETAILS SCALCET9 3.11.040. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the derivative. F(t) = In(sinh(3t)) F' (t ) = Need Help? Read It Watch It 12. [-/1 Points] DETAILS SCALCET9 3.11.047. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the derivative. f(x) = sinh -1(-7x) f' ( x ) = Need Help? Read It