Sinclair Online Portal x 2270 Syll S17 17 SPM x 2.4 c D www.webassign.net/web/St

Question

Sinclair Online Portal x 2270 Syll S17 17 SPM x 2.4 c D www.webassign.net/web/Student/Assignment-Responses/last?depm153 Find an equation of the tangent line to the curve at the given point. y sec(x), (T/3, 2) Need Help? Reed! Talk to a Tutor 9. O -0.71 points SCalc8 2.4.027 If f(x) 2 sec(x) 9x, find f (x). f (x) Need Help? Read LVWatch Telkto Tuter l 10. 0.71 points SCalc8 2.4.031 (a) Use the Quotient Rule to differentiate the function f(x) (x) f'(x) (b) simplify the expression for fx) by writing it in terms of sin(x) and cos(x), and th f (x).

Explanation / Answer

8)

y= sec x
dy/dx= sec x * tan x
slope = (dy/dx) at pi/3
slope = sec (pi/3) * tan (pi/3)
= 3.464

equation of tagent,
(y-yo) = slope*(x-xo)
(y-2) = slope*(x - pi/3)
(y-2) = 3.464*(x - pi/3)
y-2 = 3.464*x - 3.464*pi/3
y = 3.464*x - 1.63

This is equation of tangent

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