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in Derivatives by (2.6k points)
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If y2 = ax2 + bx + c, then y3\(\frac{d^2y}{dx^2}\) is

A. a constant 

B. a function of x only 

C. a function of y only 

D. a function of x and y

1 Answer

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Best answer

Correct Answer is (A) a constant

Given:

y2 = ax2 + bx + c

y = \(\sqrt{ax^2+bx+c}\)

\(\frac{dy}{dx}\)\(=\frac{1}{2\sqrt{(ax^2+bx+c)}}\times(2ax+b)\)

Hence, y is a constant.

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