Find the indicated derivative.
-$\frac { d y } { d x }$ if $y = 2 x ^ { 3 }$
A) $3 x ^ { 2 }$
B) $6 x ^ { 3 }$
C) $6 x ^ { 2 }$
D) $6 x$

Name: Find the indicated derivative. -$\frac { d y } { d x }$ if $y = 2 x ^ { 3 }$ A) $3 x ^ { 2 }$ B) $6 x ^ { 3 }$ C) $6 x ^ { 2 }$ D) $6 x$
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Question

Quizplus · Accepted Answer

The power rule of differentiation states that for any constant n, if y = x^n, then dy/dx = n x^(n-1)
In this case, y = 2x^3, so using the power rule, we get dy/dx = 6x^2. Therefore, the correct answer is C.

Find the Indicated Derivative dydx\frac { d y } { d x }dxdy​

Find the Indicated Derivative $\frac { d y } { d x }$