Estimate $\left. \frac { \mathrm { d } y } { \mathrm {~d} x } \right| _ { x = - 1 }$ of the function $y = 3 - x ^ { 2 }$ .
A)0
B) 1
C) 2
D) 6
E) 3

Name: Estimate $\left. \frac { \mathrm { d } y } { \mathrm {~d} x } \right| _ { x = - 1 }$ of the function $y = 3 - x ^ { 2 }$ . A)0 B) 1 C) 2 D) 6 E) 3
Brand: Quizplus
Rating: 4.8 (24 reviews)

Question

Estimate $\left. \frac { \mathrm { d } y } { \mathrm {~d} x } \right| _ { x = - 1 }$ of the function $y = 3 - x ^ { 2 }$ .  
A)0
B) 1
C) 2
D) 6
E) 3

Quizplus · Accepted Answer

The derivative of $y = 3 - x^2$ with respect to $x$ is $\frac{dy}{dx} = -2x$. Substituting $x = -1$ gives $\frac{dy}{dx} = -2(-1) = 2$.

Estimate dy dx∣x=−1\left. \frac { \mathrm { d } y } { \mathrm {~d} x } \right| _ { x = - 1 } dxdy​​x=−1​

Estimate $\left. \frac { \mathrm { d } y } { \mathrm {~d} x } \right| _ { x = - 1 }$