Differentiate: $f ( x ) = x ^ { 6 } + 7$
A) $6 x ^ { 7 } + 7 x$
B) $6 x ^ { 5 }$
C) $5 x ^ { 5 }$
D) $6 x ^ { 5 } + 7$

Name: Differentiate: $f ( x ) = x ^ { 6 } + 7$ A) $6 x ^ { 7 } + 7 x$ B) $6 x ^ { 5 }$ C) $5 x ^ { 5 }$ D) $6 x ^ { 5 } + 7$
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Question

Quizplus · Accepted Answer

The derivative of $x^6$ is $6x^5$ by applying the power rule, and the derivative of a constant (7) is 0, making the correct answer $6x^5$.

Differentiate f(x)=x6+7f ( x ) = x ^ { 6 } + 7f(x)=x6+7

Differentiate $f ( x ) = x ^ { 6 } + 7$