TS EAMCET · Maths · Application of Derivatives
The point at which the tangent line to the curve of is horizontal, is
- A
- B
- C
- D
Answer & Solution
Correct Answer
(B)
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Detailed explanation
The point at which the tangent line to the curve of y=16x-x2 is horizontal Given equation of curve is y=16x-x2...............i Differentiating w. r. t. x ddxy=ddx16x-x2 dydx=-16x2-2x The slope of tangent, dydx=0 -16x2-2x=0 -16+2x3x2=0 x3=-8 x=-2 Putting value x in equation i…
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