What is the equation of the line tangent to # f(x)=1/(1-x)# at # x=0#?
1 Answer
Explanation:
The slope of a tangent at a point of a function is the derivative of the function at that point, i.e
So, to find the tangent slope, we differentiate
So,
We know that differentiating a constant gives us
Since we're finding the slope at
Now, the general slope equation is
We know
Substituting these values into the general equation, we get the equation for the tangent of the function at