Thread: equation of tangent

Given that and deduce the equation of the tangent to the curve

Originally Posted by Punch

Actually,

deduce the equation of the tangent to the curve

Write it as and use the product rule. (Make sure you use the correct formula for .)

Originally Posted by alexmahone

Actually,



Write it as and use the product rule. (Make sure you use the correct formula for .)

So i will be able to find the expression of dy/dx. Next, ill need to use y-y1=m(x-x1) but what coordinates do i use for y1 and x1?

Originally Posted by Punch

So i will be able to find the expression of dy/dx. Next, ill need to use y-y1=m(x-x1) but what coordinates do i use for y1 and x1?

y(0) = 1. So you may take y1 = 1 and x1 = 0.

Originally Posted by alexmahone

y(0) = 1. So you may take y1 = 1 and x1 = 0.

But the equation of the tangent at different point are different. But question did not state which point of the curvethe tangent is required. Can i assume it is asking for the point u stated?

Originally Posted by Punch

But question did not state which point of the curvethe tangent is required.

Unless the question states this, it cannot be answered.

Can i assume it is asking for the point u stated?

No.