Solution :- we have Fla) =5 cas 2x %3D Now di'fferentiate it wot x x d (cos2x) %3D Źx(-2sin2x) %3D f'ca) - Sin 2x first deri'vative - Sin 2x. Ang f'(x) -Sin 22 And Now , differ entiate it wit x f"(x) = -2 Co82x %3D So, Second derivative is -2 Cos2x

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.2: Trigonometric Equations
Problem 75E
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Question
can you explain the whole process? like in an essay type form. how did they find the answer to the first and second derivative?
Solution :-
we have
Fla) =5 cas 2x
%3D
Now
di'fferentiate it wot x
x d (cos2x)
* (-2sin2a)
%3D
f'ca)
-Sin 2x
First deri'vVative
- Sin 2x . Ang
f'(x)
-Sin 22
And
Now , differ entiate it wat x
p"(x) =
-2 Cos2x
%3D
So, Second derivative is -2 Cos2x d
Transcribed Image Text:Solution :- we have Fla) =5 cas 2x %3D Now di'fferentiate it wot x x d (cos2x) * (-2sin2a) %3D f'ca) -Sin 2x First deri'vVative - Sin 2x . Ang f'(x) -Sin 22 And Now , differ entiate it wat x p"(x) = -2 Cos2x %3D So, Second derivative is -2 Cos2x d
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