Question

The slope of the tangent to the curve $y = x^{2 - x$ at the point where $x = 2$ is:

• A. 2
• B. 3
• C. 1
• D. 4

Hint:

Derivative represents the instantaneous rate of change or the gradient of the curve.

Answer 1

The Correct Option is B

Step 1: Concept
The slope of the tangent at a point is the value of the first derivative $dy/dx$ at that point.
Step 2: Analysis
$dy/dx = 2x - 1$. At $x = 2$, slope $m = 2(2) - 1$.
Step 3: Conclusion
$m = 4 - 1 = 3$.
Final Answer: (B)