Compute the derivatives of the given functions. d a) [12 sin ¹2t dt d b) [10 cos ¹3x] dx c) d) d du d dz d dy d dq [7 sec-¹2u] 7 tan-¹3z] CHEVALIE [10 csc ¹5y] [4 cot-¹39] 9.

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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### Compute the Derivatives of the Given Functions

a) \(\frac{d}{dt} \left[ 12 \sin^{-1} 2t \right] = \)

b) \(\frac{d}{dx} \left[ 10 \cos^{-1} 3x \right] = \)

c) \(\frac{d}{du} \left[ 7 \sec^{-1} 2u \right] =\)

d) \(\frac{d}{dz} \left[ 7 \tan^{-1} 3z \right] = \)

e) \(\frac{d}{dy} \left[ 10 \csc^{-1} 5y \right] = \)

f) \(\frac{d}{dq} \left[ 4 \cot^{-1} 3q \right] = \)
Transcribed Image Text:### Compute the Derivatives of the Given Functions a) \(\frac{d}{dt} \left[ 12 \sin^{-1} 2t \right] = \) b) \(\frac{d}{dx} \left[ 10 \cos^{-1} 3x \right] = \) c) \(\frac{d}{du} \left[ 7 \sec^{-1} 2u \right] =\) d) \(\frac{d}{dz} \left[ 7 \tan^{-1} 3z \right] = \) e) \(\frac{d}{dy} \left[ 10 \csc^{-1} 5y \right] = \) f) \(\frac{d}{dq} \left[ 4 \cot^{-1} 3q \right] = \)
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