Question

Dadas as funções f(x) = x² + Ax e g(x) = Bx, determinar A e B de tal forma que: f'(x) +g'(x) = 1 + 2x e f(x) - g(x) = x²

Answer 1

Ola Leonardo

f(x) = x² + Ax
f'(x) = 2x + A

g(x) = Bx
g'(x) = B

f'(x) + g'(x) = 2x + A + B = 2x + 1

A + B = 1

f(x) - g(x) = x² + Ax - Bx = x²

A - B = 0
A + B = 1

2A = 1

A = 1/2
B = 1/2

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Answer 2

Resposta:

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