Find the differential dy of the function $y = 2 x ^ { 2 } - 3 x + 2$ .
A) $\left( 4 x ^ { 2 } - 3 x + 2 \right) d x$
B) $( 2 x - 3 ) d x$
C) $\left( \frac { 2 } { 3 } x ^ { 3 } - \frac { 3 } { 2 } x ^ { 2 } + 2 x \right) d x$
D) $\left( 2 x ^ { 3 } - 3 x ^ { 2 } + 2 x \right) d x$
E) $( 4 x - 3 ) d x$

Question

Quizplus · Accepted Answer

The differential $dy$ of the function $y = 2x^2 - 3x + 2$ is found by taking the derivative of $y$ with respect to $x$ and then multiplying by $dx$. The derivative of $y$ is $4x - 3$, so $dy = (4x - 3)dx$.

Find the Differential Dy of the Function y=2x2−3x+2y = 2 x ^ { 2 } - 3 x + 2y=2x2−3x+2

Find the Differential Dy of the Function $y = 2 x ^ { 2 } - 3 x + 2$