G middlesexcc.instructure.com C Note: Show all work. Answers without supporting work will not receive credit. 1) Why are there restrictions on the domains of inverse trigonometric functions ( 5 points) 2) Find the derivative of f(x)=arcsin (2x) (arcsitt means inverse sine) (10 points) 3) Find the derivative of f(x)= arctan (x1/2) (10 points) 4) The integration by parts formula is a consequence of what Calculus 1 differentiation rule? (5 points) 5) Find the antiderivative of f(x)=x sinx (10 points) 6) Find the antiderivative of f(x)= (ex)sinx (10 points) 7) Find the antiderivative of f(x)= sin x cosx (10 points) 8) Find the antiderivative of f(x)= tantx (10 points) 9) What basic trigonometric results make trig substitution work by simplifying the integrals? (5 points) 10) Find the antiderivative of f(x)= (1-9x2)1/2 (10 points) 11) Find the antiderivative of f(x)= 8/ (x2+2)1/2 (10 points) 12) Find the antiderivative of f(x)=(6x+4)/(3x2+4x+1) (10 points) 13) Find the antiderivative of f(x)=(-3x-20)/ (x+8)2 (10 points) 14) Find the derivative of f(x)= In(sinhx) (10 points) 15) Find the derivative of f(x)= tanh (x2) (10 points) 16) Why does it make sense that inverse hyperbolic functions are defined in terms of logs? (5 points) MacBook Pro