Consider the curve defined by and

MATHEMATICS · Single correct · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

Consider the curve defined by

x = e^{t}

and

y = t e^{t}

. Determine the equation of the tangent to the curve at the point where the slope is

5

. (a)

y - 5e^{5} = 5\bigl(x - e^{5}\bigr)

(b)

y - 4e^{4} = 4\bigl(x - e^{4}\bigr)

(c)

y - 4e^{4} = 5\bigl(x - e^{4}\bigr)

(d)

y - e^{4} = 5\bigl(x - e^{4}\bigr)