Question

Slope of normal to the curve y = x⁴ - 7x² at x = 2 is ______ 

विकल्प

• `-1/16`

• `-1/8`

• `-1/2`

• `-1/4`

Answer 1

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`