Differentiate y = sec (x + 2).A.2x cos (x + 2)B.- cos (x²+2) cot (x² + 2)C. 2x sec (x + 2) tan (x² + 2)D. cos (x² + 2)What is the derivative with respect to x of(x+1)³-x³?A. 3x+6B. 3x-3C. 6x-3D. 6x +3

Question 1, Differentiate y=secx2+2Question 2, Derivative wirth respect to x…

Answered: Differentiate y = sec (x + 2). A. 2x…

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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1. Prove that the derivative of tan(x) is sec²(x) directly from the definition of the derivative. You may not use the formula for the derivatives of sine or cosine. Hint: use the sum formula: and the identity: tan(x + y) = tan(x) + tan(y) 1 tan(x) tan(y) 1 + tan²(x) = sec²(x).
urgent
Find the first derivative for each.
-1 2x Find the second order derivative of y = Tan 3. 1-x*
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5- Calculate the derivative: f (2) = (100z + Sin (-72)) |
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Differentiate y = sec (x + 2). A. 2x cos (x+2) B. -cos (x+2) cot (x² + 2) 2x sec (x+2) tan (x² + 2) D. cos (x² + 2) C. What is the derivative with respect to x of (x + 1)³-x³?