Question

The slope of the tangent to the curve $y=x^2-x$ at the point where the line $y=2$ cuts the curve in the first quadrant is

• A. $2$
• B. $3$
• C. $-3$
• D. none of these

Answer 1

The correct option is B $3$

For $y=2,x^2-x-2=0$ gives $x=-1$ and $x=2$ as point is in first quadrant.
Therefore point is $(2,2)$
Now $\frac{dy}{dx}=2x-1=4-1=3$