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Assume the function f is defined as f(x)=5cosx-4sinx Use the corresponding derivative rules to find the second derivative f(x) and evaluate that second derivative
Assume the function f is defined as f(x)=5cosx-4sinx Use the corresponding derivative rules to find the second derivative f"(x) and evaluate that second derivative at x = 1.7. Be sure your calculator is in radians mode. retain at least eight decimal places in your calculations. Use the "central difference formula for the second derivative" to estimate f"(x) at x = 1.7 for four different values of the mesh sizes h = 0.2 h = 0.1 h = 0.05 h = 0.025 Answer the following two questions: Does the error in the central difference approximation drop as the mesh size h is reduced? As the mesh size h is reduced by a factor of 2, by what factor is the error in the central difference approximation reduced?
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