If $f\left(x\right)=\frac{x}{\sqrt{a^2+x^2}}+\frac{\left(d-x\right)}{\sqrt{b^2+{\left(d-x\right)}^2}}$ ten (A) $f\left(x\right)$ is strictly increasing (B) $f\left(x\right)$ is strictly deceasing (C) $f^{\prime }\left(x\right)$ is constant (D) $f\left(x\right)$ is neither increasing nor decreasing

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