Find the equation of the tangent to the curve $y={{e}^{x}}$ at the point where $x=a$. Hence find the

Question

Find the equation of the tangent to the curve $y={{e}^{x}}$ at the point where $x=a$. Hence find the equation of the tangent to the curve $y={{e}^{x}}$ which passes through the origin. The straight line $y=mx$ intersects the curve $y={{e}^{x}}$ in two distinct points. Write down an inequality for $m$.

Accepted Answer

$y=ex$, $m>e$

N2001 P1 Q2

N2001 P1 Q2

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