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Study Stuff for MCA Examinations - NIMCET
Study Stuff for MCA Examinations - NIMCET
Previous Year Question (PYQs)
The point on the curve
$y = 6x - x^2$
where the tangent is parallel to the x-axis is:
Solution
Tangent ∥ x-axis ⇒ slope = 0Differentiate:
$\dfrac{dy}{dx} = 6 - 2x$
Set derivative equal to zero:
$6 - 2x = 0$
$2x = 6$
$x = 3$
Now find $y$:
$y = 6(3) - (3)^2 = 18 - 9 = 9$
Therefore, the required point is $(3,9)$.
Answer: $(3,9)$
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