Given: f(x) = sec x
a. Find the equation of the line tangent to the curve at x = pi/4 . Show all steps analytically.
b. Find f''(x)
i mostly need help in letter A but B would be nice, please and thank you!(:
a. Find the equation of the line tangent to the curve at x = pi/4 . Show all steps analytically.
b. Find f''(x)
i mostly need help in letter A but B would be nice, please and thank you!(:
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f '(x) = sec(x)*tan(x)
(a.) slope of tangent line = f '(pi/4) = √2
Eqn of tangent line: y - √2 = √2*(x - pi/4)
(b.) f ''(x) = sec^3(x) + sec(x)*tan²(x)
(a.) slope of tangent line = f '(pi/4) = √2
Eqn of tangent line: y - √2 = √2*(x - pi/4)
(b.) f ''(x) = sec^3(x) + sec(x)*tan²(x)