1. This problem is on finding derivative and integral of a function. Consider a polynomial function:...

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1. This problem is on finding derivative and integral of a function. Consider a polynomial function: f(x)=2x-6x+x+4. (a) Determine the first and the second derivatives of f(x). (b) Plot the function of the first derivative of f(x). Find the minima of the first derivative of f(x). (c) Find F(x) which is the indefinite integral of f(x) and then calculate definite integral [', f(x)dx. (d) If F(x=0)=1, what is the value of F(x=1)? 1. This problem is on finding derivative and integral of a function. Consider a polynomial function: f(x)=2x-6x+x+4. (a) Determine the first and the second derivatives of f(x). (b) Plot the function of the first derivative of f(x). Find the minima of the first derivative of f(x). (c) Find F(x) which is the indefinite integral of f(x) and then calculate definite integral [', f(x)dx. (d) If F(x=0)=1, what is the value of F(x=1)?

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a To determine the first and second derivatives of the function fx 2x 6x x 4 we differentiate the fu... View the full answer