NUMERICAL DIFFERENTIATION AND INTEGRATION
OBJECTIVE To perform numerical differentiation and integration LEARNING OUTCOMES After the completion of this experiment students will be able to Implement numerical integration and differentiation. SOFTWARE USED: MATLAB ® R2017a THEORY The first derivative of the function f(x), which we write as df /dx , is the slope of the tangent line to the function at the point x. To put this in non-graphical terms, the first derivative tells us how whether a function is increasing or decreasing, and by how much it is increasing or decreasing . The second derivative of a function is the derivative of the derivative of that function. We write it as d 2 f /dx 2 . While the first derivative can tell us if the function is increasing or decreasing, the second derivative tells us if the first derivative is increasing or decreasing. If the second derivative is positive, th...
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