Keywordstable of derivation
differentiating sum rule
differentiating difference rule
differentiating power rule
differentiating multiple rule
evaluating a derivative
Mathematical and Computer Sciences
SCIENCES & MATHEMATICS
SCIENCES & MATHEMATICS
UK EL06 = SCQF 6, Advanced courses, NICAT 3, CQFW 3, Advanced, A/AS Level, NVQ 3, Higher, SVQ 3
UK EL07 = SCQF 7, Higher Certificate, NICAT 4, CQFW 4, NVQ 4, Advanced Higher, SVQ 4, HN Certificate
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AbstractUsing a table of derivatives to perform differentiation of common functions. Also contains an interactive quiz to test knowledge of common derivatives. The functions include polynomials, exponentials, logarithms and trigonometric functions (Learning Object 1/3).
Copyright/LicenseJorum Institutional Licence
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Electroproduction of $\pi^+ n$, $\pi^- p$ and $K^+ \Lambda$, $K^+ \Sigma^0$ Final States Above the Resonance RegionBrauel, P.; Canzler, T.; Cords, D.; Felst, R.; Grindhammer, Guenter; Helm, M.; Kollmann, W. D.; Krehbiel, H.; Schadlich, M. (1979)The reactionsΣvp→π+n,K+Λ,K+∑0 andΣvn→π+n were studied at invariant hadronic masses around 2.2. GeV forQ2=0.06, 0.28, 0.70, and 1.35 GeV2. The main results are: At small |t| the π+ production is dominated by longitudinally polarized photons and can be described by one pion exchange. At low |t| the transverse (π+n) cross section drops steeply withQ2, but remains roughly constant forQ2≧0.5 GeV2. For |t⊢≧0.8 GeV2, (π+n/dt) is almost independent ofQ2. The integrated cross section (π+n) shows a similarQ2-dependence asσtot (γvp) forQ2≧0.28 GeV2. The ratioσ(π-p)/σ(π+n) atQ2=0.70 and 1.35 GeV2 for |t|≧0.6 GeV2 is smaller than in photoproduction and close to 1/4. The ratioσ(K+∑0 decreases steeply withQ2 following roughly the predictions of the quark-parton model.
Production of Three Large p(T) Jets in Hadron-Hadron CollisionsKunszt, Z.; Pietarinen, E. (1980)We discuss physical effects given by QCD 2 → 3 scattering subprocesses. Transverse thrust distributions, jet and π 0 − π 0 azimuthal correlations, p out distributions have been calculated at different energies with various cut-offs and are compared with the available data. Effects of transverse momentum smearing and jet broadening are also estimated. It is pointed out, that if the QCD description is correct, 3-jet effects will be revealed at transverse energies above E ⊥ >≈; 20 GeV and transverse jet momenta above p jet ⊥ >≈; 5 GeV in future ISR, SPS p p collider and ISABELLE experiments.