How do you differentiate $f(x)=7x^3-x^2+x$ using the sum rule?

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Answer 1 · 2018-04-06T06:03:10

$f'(x)=21x^2-2x+1$

$d/dx(7x^3-x^2+x)=d/dx7x^3-d/dxx^2+d/dxx$ , we can break up a derivative across sums or differences.

Thus,

$f'(x)=(3)(7)x^2-2x+1$

$f'(x)=21x^2-2x+1$

How do you differentiate f(x)=7x^3-x^2+xf(x)=7x^3-x^2+x using the sum rule?