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Differentiable Function and Expression of Equation

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. Determine f(0) and find the ...

Solution Summary

This solution shows how to use the definition of the derivative to solve the given problem.

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