Question

1-14 Differentiate. 1. f(x) = 3x^2 - 2 cos x 2. y = 2 csc x + 5 cos x 3. f(x) = sin x + 1/2 cot x 4. f(x) = sqrt(x) sin x 5. y = sec theta tan theta 6. g(theta) = e^theta (tan theta - theta) 7. y = c cos t + t^2 sin t 8. f(t) = cot t / e^t

          1-14 Differentiate.
1. f(x) = 3x^2 - 2 cos x
2. y = 2 csc x + 5 cos x
3. f(x) = sin x + 1/2 cot x
4. f(x) = sqrt(x) sin x
5. y = sec theta tan theta
6. g(theta) = e^theta (tan theta - theta)
7. y = c cos t + t^2 sin t
8. f(t) = cot t / e^t

1-14 Differentiate.
1. f(x) = 3x^2 - 2 cos x
2. y = 2 csc x + 5 cos x
3. f(x) = sin x + 1/2 cot x
4. f(x) = sqrt(x) sin x
5. y = sec theta tan theta
6. g(theta) = e^theta (tan theta - theta)
7. y = c cos t + t^2 sin t
8. f(t) = cot t / e^t

Added by Michael W.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Adi S

07/15/2023

Step 1

- The derivative of \( -2 \cos x \) is \( 2 \sin x \). - Therefore, \( f'(x) = 6x + 2 \sin x \). Show more…

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Differentiate. 1. f(x) = 3x^2 - 2 cos x 2. y = 2 csc x + 5 cos x 3. f(x) = sin x + 1/2 cot x 4. f(x) = sqrt(x) sin x 5. y = sec theta tan theta 6. g(theta) = e^theta (tan theta - theta) 7. y = c cos t + t^2 sin t 8. f(t) = cot t / e^t