Department of Mathematics



Derivatives ReviewFind the y’ of the following functions.1. y=x2+x+8 2. y=13x2-52x 3. y=(1-x)(1+x2)-14. y=1+x-4xx 5. y=x2+3ex2ex-x 6. y=x2+312xx4-1x3Find dy/dx of the following functions. 7. y=4cosx+1tanx 8. y=x2cosx-2xsinx-2cosx9. y=tanx1+tanx 10. y=(1+cscx)cosxFind the derivatives of the following functions.11. y=12x4-8x2+5ex3 12. y=1+cosxsinx-113. y=secxtan1x 14. y=4sin1+xFind the derivative of y with respect to x.15. y=lnx1+x 16. y=esinxlnx2+117. y=100x2 18. y=lnex-lnxIntegrals ReviewEvaluate the following integrals.1. tanx-32sec2xdx 2. secθtanθ1+secθ dθ3. tan-1x21+x2dx 4. etanxsec2xdx5. x+1x2dx 6. ( 9x+3) dxEvaluate the following integrals. 7. -1515 6 x dx 8. 0ln9eθeθ-112dθ9. –π2π2 15sin3xcos3x dx 10. π43π4cscxcotxdx11. -212-z3+sinπz3+2cosπz3dz12. -20t3+t2+36t-12dt ................
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