Question

The curve y – e^xy + x = 0 has a vertical tangent at the point –

• A. (1, 0)
• B. At no point
• C. (0, 1)
• D. (0, 0)

Answer 1

Answer: (A)

(1, 0)

Answer 2

$\frac{dy}{dx}$ = – $\left\lbrack \frac{1–e^{xy}.y}{1–e^{xy}.x} \right\rbrack$ = $\frac{1}{0}$ (for vertical tangent)

Ž 1 – y e^xy = 0 Ž 1 = ye^xy Ž\ x = 1, y = 1