Question
Find the slope of the curve
y = 2x2 + 5x−3 at (1,4)
A. 4
B. 0
C. 7
D. 9
y = 2x2 + 5x−3 at (1,4)
A. 4
B. 0
C. 7
D. 9
Answers
Answered by
GPT 3.5
To find the slope of the curve, we need to take the derivative of the equation y = 2x^2 + 5x - 3.
Taking the derivative with respect to x, we get:
dy/dx = 4x + 5
To find the slope at the point (1,4), we substitute x = 1 into the derivative:
dy/dx = 4(1) + 5 = 4 + 5 = 9
Therefore, the slope of the curve at (1,4) is 9.
The correct answer choice is D. 9.
Taking the derivative with respect to x, we get:
dy/dx = 4x + 5
To find the slope at the point (1,4), we substitute x = 1 into the derivative:
dy/dx = 4(1) + 5 = 4 + 5 = 9
Therefore, the slope of the curve at (1,4) is 9.
The correct answer choice is D. 9.