How do you find the derivative of $f (x) = 5 (- 3 x^{2} + 5 x + 1)$ $f(x)=5(-3x^2+5x+1)$ ?

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Answer 1 · 2017-04-15T18:27:51

$f'(x)=-30x+25$

First, distribute the $5$ :

$f(x)=-15x^2+25x+5$

Now use the power rule to take the derivative for each term. The derivative of a constant will become $0$ .:

$f'(x)=-30x+25$

How do you find the derivative of f(x)=5(-3x^2+5x+1)f(x)=5(−3x2+5x+1)f(x)=5(-3x^2+5x+1)?