What is the equation of the line tangent to f(x)=4\sec

Coby Allison

Coby Allison

Answered question


What is the equation of the line tangent to f(x)=4secx8cosx at x=3?

Answer & Explanation

Arif Coates

Arif Coates

Beginner2022-02-16Added 6 answers

Equation of line tangent can be formed by y1y=m(x1x) where m is the slope and x1 and y1 represent the x-coordinate and y-coordinate of the point of intersection of f(x) and tangent.
We know that slope of line tangent to y=f(x) is f(x)=dydx.
So, to do this question, we have to find f'(x) first.
When x=3, the slope of line tangent (m)=f'(3)
and the y-coordinate of this point is f(3)
We get all the information we need and we can plug them into the equation.
Equation of line tangent at x=3:

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?