One way of solving this is using calculus: derivatives.
We have
. Let's take this as a function of x.
So,
.
Now, we find it's derivative: f'(x). To do this, we use the quotient rule. The derivative [ f'(x) ] basically gives us the slope of the tangent line at a point x.
Now, we evaluate the derivative at the point x = 2 to find the slope of the tangent line at that point.
Now, we have the slope and the x and y co-ordinates; thus, we can use the point slope form to find the equation of the tangent line at the point (2,0.40).
That's the equation.
We have
So,
Now, we find it's derivative: f'(x). To do this, we use the quotient rule. The derivative [ f'(x) ] basically gives us the slope of the tangent line at a point x.
Now, we evaluate the derivative at the point x = 2 to find the slope of the tangent line at that point.
Now, we have the slope and the x and y co-ordinates; thus, we can use the point slope form to find the equation of the tangent line at the point (2,0.40).
That's the equation.