Question: Q3) Given the function f(x)=8x2-4x2 and use h=0.15.a) Find numerically f'(1),f''(1) and f'''(1) to the best possible accuracy.b) Find mathematically the exact value of f'(1),f''(1)
Q3) Given the function f(x)=8x2-4x2 and use h=0.15.a) Find numerically f'(1),f''(1) and f'''(1) to the best possible accuracy.b) Find mathematically the exact value of f'(1),f''(1) and f'''(1).c) Calculate the relative error in finding f'(1),f''(1) and f'''(1).Q4) Given the function f(x)=xsinx and use h=25.Find numerically f'''(2) to the best possible accuracy and then calculate the relative error compared with the mathematical exact value.
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