Write the equation of the line tangent to f(x) = tan x + 3 at (pi/4. 4)

opatovaL 2021-09-10 Answered
Write the equation of the line tangent to f(x)=tanx+3 at (π4.4)
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Expert Answer

ottcomn
Answered 2021-09-11 Author has 97 answers
f(x)=tanx+3 at (π4.4)
y=f(x)=tan+3
ddx×f(x)=ddx(tanx+3)
f(x)=sec2x+0
dydx=sec2x
Slope m=dydx=sec2×π4=sec2(π4)=(2)2=2
(y4)=2(xπx)
y=2xπ2+4
y=2xπ+82
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