# Function got a little lengthy for sake of symmetry!

Calculus Level 4

If provided $$s+e+a=0$$ and a function $$f$$ is defined as $\large f(c)=\dfrac{1}{c^s +c^{-e}+1}+\dfrac{1}{c^e +c^{-a}+1}+\dfrac{1}{c^a +c^{-s}+1} .$

Find the derivative of $$f(c)$$ at $$c=\pi$$.

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