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Question
Slope of normal to the curve y = x4 - 7x2 at x = 2 is ______
Options
`-1/16`
`-1/8`
`-1/2`
`-1/4`
MCQ
Fill in the Blanks
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Solution
Slope of normal to the curve y = x4 - 7x2 at x = 2 is `underline(-1/4)`.
Explanation:
y = x4 - 7x2
∴ `dy/dx = 4x^3 - 14x`
∴ `(dy/dx)_{x = 2} = 4(2)^3 - 28 = 4`
∴ slope of normal at x = 2 = `1/(dy/dx)_{x = 2} = -1/4`
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Application of Derivative in Geometry
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