Differentiate: $f ( x ) = x ^ { 4 } + 7$
A) $4 x ^ { 3 }$
B) $4 x ^ { 3 } + 7$
C) $4 x ^ { 5 } + 7 x$
D) $3 x ^ { 3 }$

Name: Differentiate: $f ( x ) = x ^ { 4 } + 7$ A) $4 x ^ { 3 }$ B) $4 x ^ { 3 } + 7$ C) $4 x ^ { 5 } + 7 x$ D) $3 x ^ { 3 }$
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Question

Quizplus · Accepted Answer

The derivative of $x^4$ is $4x^3$ by applying the power rule, and the derivative of a constant (7) is 0, so the correct answer is $4x^3$.

Differentiate f(x)=x4+7f ( x ) = x ^ { 4 } + 7f(x)=x4+7

Differentiate $f ( x ) = x ^ { 4 } + 7$