'Higher derivatives' presentation slideshows

Higher Derivative Dark Energy

Higher Derivative Dark Energy. Mingzhe Li Department of Physics, Nanjing University May 22, 2012 IHEP Beijing. Outline. Dark energy models: classified by w Quintom dark energy model building: difficulties Single scalar field model: higher derivatives

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Chapter 5 Higher Derivatives

Chapter 5 Higher Derivatives. Mindmap of C5. See Patterns. Asymptotes to a Curve. C5 Derivatives. Higher Derivatives. Partial Fractions. Direct Evaluation. Leibniz's Rule. Differential Equations of High Orders. Points of Inflexion. Either Decreasing or Increasing. Extrema.

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Chain Rule

Chain Rule. If f and g are differentiable, then so is their composition f(g(x)) Resulting differentiation formula called chain rule. First Approach. Examples. Compute the derivatives of the following functions:. Remark.

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Optimality Conditions for Unconstrained optimization

Optimality Conditions for Unconstrained optimization. One dimensional optimization Necessary and sufficient conditions Multidimensional optimization Classification of stationary points Necssary and sufficient conditions for local optima. Convexity and global optimality.

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Numerical Methods notes by G. Houseman for EARS1160, ENVI2240, CCFD1160

Numerical Methods notes by G. Houseman for EARS1160, ENVI2240, CCFD1160. Lecture 2: Numerical Differentiation. Derivative as a gradient Taylor Series The forward difference: 1st order accurate Discretisation error Round-off error The centered difference: 2nd order accurate Convergence

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Calculus 2413 Chapter 3(3) Product Rule Quotient Rule Higher Derivatives

Calculus 2413 Chapter 3(3) Product Rule Quotient Rule Higher Derivatives. Product Rule. Identify the two parts that are multiplied. Product Rule. Identify the two functions. Simplify:. Product Rule. Identify the two functions. Simplify:. Find the slope of the line tangent to the function.

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Section 13.3 Partial Derivatives

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December 4, 2012

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Higher Derivatives

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Sec 15.3 Partial Derivatives

Sec 15.3 Partial Derivatives. Definition: Let f be a function of two variables whose domain includes the point ( a , b ). The partial derivative of f with respect to x at ( a , b ) is defined by

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Chapter 15

Chapter 15. Section 15.6 Limits and Continuity; Equality of Mixed Partials. Second Derivatives For a function of several variables there is more than one first derivative. I fact if there are 2 first derivatives ( and ) and 4 second derivatives (really 3 different ones).

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