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Find the derivative of f(x)\, with respect to x\,: f(x)=8x^{5}+4x^{4}+6x^{3}+x+7\,

For this problem, just use the power rule on every term seperately because the derivative of a sum is equal to the sum of the derivatives of the parts.


Remember anything to the 0\, power other than 0\, is just 1\, so x^{{1-1}}=x^{0}=1\,. Simplify the exponents and constants and we get


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