What is the equation of the line tangent to f(x)=4secx−8cosx at x=3?
What is the equation of the line tangent to at x=3?
Answer & Explanation
Beginner2022-02-16Added 6 answers
Equation of line tangent can be formed by where m is the slope and and 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 . 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:
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