Function and expression of equation
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Q: Suppose f is a differentiable function, such that (1) f(x+y)=f(x)+f(y)+2xy for all real numbers x and y and (2) lim_h-->0 f(h)/h =7. Determine f(0) and find the expression for f(x). (Hint: find f'(x)).
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Suppose f is a differentiable function, such that (1) f(x+y)=f(x)+f(y)+2xy for all real numbers x and y and (2) lim_h-->0 f(h)/h =7.
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