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Question

Question: The curve y = x<sup>1/5</sup> has at (0, 0)...

The curve y = x1/5 has at (0, 0)

A

A vertical tangent

B

A horizontal tangent

C

Oblique tangent

D

No tangent

Answer

A vertical tangent

Explanation

Solution

dydx=15x(4/5)\frac{dy}{dx} = \frac{1}{5x(4/5)}

(dydx)0,0=\left( \frac{dy}{dx} \right)_{0,0} = \propto® represent vertical tangent