Question

Evaluate the following derivatives at the given points. Find the equation of the line tangent at each point.

a) f(x)=ln(secx) @ x=pi/3

b) f(x)=(root(x+1))/(x-1) @ x=0

Answer 1

First, find y1 by f(pi/3)

Then, find the slope by taking the derivative of the equation and plugging in the x value i.e. m=f'(pi/3)

Now that you know y1, m, and x1, plug into the following and solve for y
y-y1=m(x-x1)