Find derivative of [(4-pi)/(4pi) x^2 - 10x + 100]?

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How do I find derivative of this equation?

my attempt:

A(x) = $$\frac{4x^2+\pi x^2}{4\pi}-10x+100.$$

so how do I find the derivative of the first part? Like do I use quotient rule for the beginning of the equation??

please show full solutions :)

thanks

Sincerely,

Math should solve itself, I have my own problems!!

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2 Answers

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Hint: Factor out the $x^2$. You'll simply be left with a quadratic polynomial. No need for quotient rule (though you can of course use it).

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$$\left(\frac{4x^2+\pi x^2}{4\pi}-10x+100\right)'=\left(\frac{4+\pi}{4\pi}x^2-10x+100\right)'=\left(\frac{4+\pi}{4\pi}(x^2)'-10x'+100'\right)$$ $$=\frac{4+\pi}{4\pi}2x-10=\frac{4+\pi}{2\pi}x-10$$

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