7 sin x Let f(x) 6 sin x + 2 cos x Then f'(x) = The equation of the tangent line to y = f(x) at a = 3 can be written in the form y = mx + b where т — and b =

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Let \( f(x) = \frac{7 \sin x}{6 \sin x + 2 \cos x} \).

Then \( f'(x) = \) 

\(\underline{\phantom{(1)}}\)

The equation of the tangent line to \( y = f(x) \) at \( a = \frac{\pi}{3} \) can be written in the form \( y = mx + b \) where 

\( m = \)

\(\underline{\phantom{(1)}}\)

and

\( b = \)

\(\underline{\phantom{(1)}}\)
Transcribed Image Text:Let \( f(x) = \frac{7 \sin x}{6 \sin x + 2 \cos x} \). Then \( f'(x) = \) \(\underline{\phantom{(1)}}\) The equation of the tangent line to \( y = f(x) \) at \( a = \frac{\pi}{3} \) can be written in the form \( y = mx + b \) where \( m = \) \(\underline{\phantom{(1)}}\) and \( b = \) \(\underline{\phantom{(1)}}\)
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