Using Trigonometric Functions  (a) Find the derivative of the function g(x) = sin2 x + cos2 x in two ways.        (b) For f(x) = sec2 x and g(x) = tan2 x, show that f′(x) = g′(x).

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section4.2: The Natural Exponential Function
Problem 18E
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Using Trigonometric Functions 

(a) Find the derivative of the function g(x) = sin2 x + cos2 x in two ways.        (b) For f(x) = sec2 x and g(x) = tan2 x, show that f′(x) = g′(x).

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