Differentiating $f ( x ) = \frac { 1 } { 3 } x ^ { 7 } - 2 x ^ { 5 } + 9 x - 8$ gives $\frac { 7 x ^ { 6 } } { 3 } - 10 x ^ { 4 } + 9$ .

Name: Differentiating $f ( x ) = \frac { 1 } { 3 } x ^ { 7 } - 2 x ^ { 5 } + 9 x - 8$ gives $\frac { 7 x ^ { 6 } } { 3 } - 10 x ^ { 4 } + 9$ .
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Differentiating $f(x) = \frac{1}{3}x^7 - 2x^5 + 9x - 8$ term by term using the power rule $d/dx[x^n] = nx^{n-1}$ gives $\frac{7}{3}x^6 - 10x^4 + 9$, which matches the provided expression.

Differentiating f(x)=13x7−2x5+9x−8f ( x ) = \frac { 1 } { 3 } x ^ { 7 } - 2 x ^ { 5 } + 9 x - 8f(x)=31​x7−2x5+9x−8

Differentiating $f ( x ) = \frac { 1 } { 3 } x ^ { 7 } - 2 x ^ { 5 } + 9 x - 8$