Determine an equation of the tangent line

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Reference no: EM131144243

1. Find the derivative:  f(x) = ln (x + √(x2 + 1))

2. Differentiate:  y = xtan(x)  

3. Find dy/dx if x ey + 1 = xy

4. Determine an equation of the tangent line to y = e-3x at (0, 1)

5. Differentiate the implicit function 2yex + 1 = x 

6. Locate any relative extrema and points of inflection for f(x) = x2ln(x)

7. Find an equation of the tangent line at the point where x = 2 for the function: y = arctan(x/2)

8. Evaluate: 2e+1 1/x-1 dx

9. Evaluate: ∫(5/x2+6x+13)dx

10. Evaluate: ee^2 1/x dx  

11. Evaluate: ∫(4ex/e2x + 1)dx

12. Evaluate: ∫(3x2 + 3x + 3/x2 + 1) dx   

13. Without graphing the function, explain how you would determine whether f(x) = x-2/3 is 1-1. 

14. Solve: 3e-2x = 6

15. Solve: ln(x) + ln(x-3) = 0.

Reference no: EM131144243

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