Find a formula for the slope of the graph of $f ( x ) = 9 x ^ { 6 }$ .
A) $54 x$
B) $x ^ { 6 }$
C) $54 x ^ { 5 }$
D) $54 x ^ { 4 } ( x - 1 )$
E) $\infty$

Name: Find a formula for the slope of the graph of $f ( x ) = 9 x ^ { 6 }$ . A) $54 x$ B) $x ^ { 6 }$ C) $54 x ^ { 5 }$ D) $54 x ^ { 4 } ( x - 1 )$ E) $\infty$
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Question

Quizplus · Accepted Answer

The slope of the graph of a function is given by its derivative. The derivative of $f(x) = 9x^6$ with respect to $x$ is $f'(x) = 54x^5$, using the power rule of differentiation.

Find a Formula for the Slope of the Graph Of f