Find the slope of the curve at the indicated point.
-$$y = x ^ { 2 } + 3 x - 5 , x = 2$$
A) m = 2
B) m = 7
C) m = 4
D) m = 10

Question

Quizplus · Accepted Answer

To find the slope of the curve at a given point, we first need to find the derivative of the function with respect to x, which gives us the slope of the tangent line at any point x. The derivative of $y = x^2 + 3x - 5$ is $dy/dx = 2x + 3$. Substituting $x = 2$ into this derivative gives $2(2) + 3 = 4 + 3 = 7$, which is the slope of the curve at the point where $x = 2$.

Find the Slope of the Curve at the Indicated Point y=x2+3x−5,x=2y = x ^ { 2 } + 3 x - 5 , x = 2y=x2+3x−5,x=2

Find the Slope of the Curve at the Indicated Point $y = x ^ { 2 } + 3 x - 5 , x = 2$