Differentiate: $f ( x ) = x ^ { 8 } + 2$
A) $8 x ^ { 7 } + 2$
B) $8 x ^ { 9 } + 2 x$
C) $8 x ^ { 7 }$
D) $7 x ^ { 7 }$

Name: Differentiate: $f ( x ) = x ^ { 8 } + 2$ A) $8 x ^ { 7 } + 2$ B) $8 x ^ { 9 } + 2 x$ C) $8 x ^ { 7 }$ D) $7 x ^ { 7 }$
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Question

Quizplus · Accepted Answer

The derivative of $x^8$ is $8x^7$ by applying the power rule, and the derivative of a constant (2) is 0, so the correct answer is $8x^7$.

Differentiate f(x)=x8+2f ( x ) = x ^ { 8 } + 2f(x)=x8+2

Differentiate $f ( x ) = x ^ { 8 } + 2$