Hi
The equation of the tangent of the curve representing f at abscissa a is
When you get
It passes through the origin when which gives a = 1
Find the equation of the tangent to the curve y = e to the power x at the point where x = a. Hence find the equation to the tangent to the curve y = e to the power x which passes through the origin. The straight line y = mx intersects the curve y = e to the power x in two distinct points. Write down an inequality for m.
the curve dose not pass through the origin how you can find the tangent line of it at (0,0)
you can't find a value of x which make that equation true
the tangent for at x=a first find
y when x=a you will have
now derive y sub a in it you will get the slope which equal finally the tangent line of y is
then
can't intersect in tow points y=mx pass through the origin but dose not pass through it
it is clear or not ........