(b) Find the following limits i. lim _(sec x – tan x) sin(2x) ii. lim x-0 tan-'(5x)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.4: Derivatives Of Exponential Functions
Problem 20E
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Answer 1(b)

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Problem 01:
(a) Using logarithmic differentiation find y'(x) if y(x) =
e-× cos² x
%3D
x²+2x+1°
(b) Find the following limits
i. lim (secx – tan x)
x-
sin(2x)
ii. lim-
x+0 tan-'(5x)
(c) Solve the initial value problem (x + 4)y' = 1, y(0) = 0.
%3D
Transcribed Image Text:Problem 01: (a) Using logarithmic differentiation find y'(x) if y(x) = e-× cos² x %3D x²+2x+1° (b) Find the following limits i. lim (secx – tan x) x- sin(2x) ii. lim- x+0 tan-'(5x) (c) Solve the initial value problem (x + 4)y' = 1, y(0) = 0. %3D
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,