Estimate $\left. \frac { \mathrm { d } y } { \mathrm {~d} x } \right| _ { x = 2 }$ of the function $y = 4 x ^ { 2 }$ .
A)20
B) 17
C) 14
D) 16
E) 18

Name: Estimate $\left. \frac { \mathrm { d } y } { \mathrm {~d} x } \right| _ { x = 2 }$ of the function $y = 4 x ^ { 2 }$ . A)20 B) 17 C) 14 D) 16 E) 18
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Question

Estimate $\left. \frac { \mathrm { d } y } { \mathrm {~d} x } \right| _ { x = 2 }$ of the function $y = 4 x ^ { 2 }$ .  
A)20
B) 17
C) 14
D) 16
E) 18

Quizplus · Accepted Answer

The derivative of $y = 4x^2$ is $\frac{dy}{dx} = 8x$. Evaluating at $x = 2$, $\frac{dy}{dx} = 8(2) = 16$.

Estimate dy dx∣x=2\left. \frac { \mathrm { d } y } { \mathrm {~d} x } \right| _ { x = 2 } dxdy​​x=2​

Estimate $\left. \frac { \mathrm { d } y } { \mathrm {~d} x } \right| _ { x = 2 }$