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Second order rate is obtained from derivatives. The function can be differentiated by two times for finding the second order rate. The constant value of the second order rate of change will be zero. Differentiation of any constant value is always zero. The degree of the second order rate is two. The second order rate of change can be denoted as (d2y / dx^2).Example Problem for Second Order Rate ConstantExample 1:Find the second order rate of change of the given function and find the second order rate constant value. Given functionG = 3x^4 + 5x^2 - 8Solution:Given function G = 3x^4 + 5x^2 - 8Differentiate the function with respect to x, we getdG / dx = 12x^3 + 10xFor finding second order rate of change, once again differentiate the above functionSecond order rate of change (d^2G / dx^2) = 36x^2Here, second order rate constant value is zeroAnswer:Second order rate constant value is zeroExample 2:Find the second order rate constant of the function x = 4t3 + 2t2 + 3t^4 - 2Solution:Given function x = 4t3 + 2t2 + 3t^4 - 2First order rate of change of the function is given as,(dx / dt) = 12t2 + 4t + 12t3Second order rate of change of the function is given as,(d^2x / dx^2) = 24t + 4 +...more
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A function psi is satisfies the Laplace equation and it is said to be harmonic function. The solution of the Laplace equation has the properties of sphere. The property states that average value of the spherical surface is equal to value at the...more
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