# How do you find the equation of the tangent and normal line to the curve #y=1/x# at x=2?

##### 1 Answer

**Step 1 - Find the value of #y# when #x=2#:**

**Step 2 - Find the gradient of the tangent at #x=2#:**

So,

When

**Step 3 - Eq'n of the Tangent when #x=2#:**

The tangent passes through

Using

**Step 4 - Eq'n of the Normal when #x=2#:**

Normal is perpendicular to Tangent, so

gradient of Normal =

The normal passes through

Using