Homework Help is Here – Start Your Trial Now!
Math
Calculus
TOPIC 2: Derivatives of Logarithmic Functions (ba Basic Rules: (In x)': a) f(x)=- +2 In(x) 2 X . where In x = log, x Q.#5 Please find the derivatives of the following functions. b) g(t) = 2log (1) fix = 1 (In (²) +2) P'LD) = 1 (INC) + (2 { x = = = = = +0 f'(x) = ax (log, x) = 11 x In a xln a Final Answer 1 f'(x) = ax Final Answer

TOPIC 2: Derivatives of Logarithmic Functions (ba Basic Rules: (In x)': a) f(x)=- +2 In(x) 2 X . where In x = log, x Q.#5 Please find the derivatives of the following functions. b) g(t) = 2log (1) fix = 1 (In (²) +2) P'LD) = 1 (INC) + (2 { x = = = = = +0 f'(x) = ax (log, x) = 11 x In a xln a Final Answer 1 f'(x) = ax Final Answer

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.CR: Chapter 3 Review
Problem 8CR
See similar textbooks
icon
Related questions
Question
100%
Are these done right?
TOPIC 2: Derivatives of Logarithmic Functions (basic rules, combos with other rules, etc.) Basic Rules: (In x) = - , where In x = log, x Q.#5 Please find the derivatives of the following functions. In(x) 2 fix) = 1 (Inc) f'(x) = a) f(x) = +2 b) g(t) = 2log s(t) (INC) + (2) f/1x) = = = = = = = + +0 f'(x) = 2x 9'(t) = 3 (2 logs (1) 9' (t) = 2 · 3 (1095 (t)) . 9 '(t) = 2. I In (5)+ 2 In (5) + 9' (t) = c) f(x)=xlnx-x f'(x) = x (x-In (x) - x) f'ci) = x (x. In (x) - — (0) - dx dx f'(x) = In (x) + x² = -1 X f'(x)= In (x) (log, x) 11 x In a 1 x ln a Final Answer f'(x) = ax Final Answer 9(A) = Ə In/5)+ Final Answer f'(x) = In (x) Page 8 of 16
Transcribed Image Text:TOPIC 2: Derivatives of Logarithmic Functions (basic rules, combos with other rules, etc.) Basic Rules: (In x) = - , where In x = log, x Q.#5 Please find the derivatives of the following functions. In(x) 2 fix) = 1 (Inc) f'(x) = a) f(x) = +2 b) g(t) = 2log s(t) (INC) + (2) f/1x) = = = = = = = + +0 f'(x) = 2x 9'(t) = 3 (2 logs (1) 9' (t) = 2 · 3 (1095 (t)) . 9 '(t) = 2. I In (5)+ 2 In (5) + 9' (t) = c) f(x)=xlnx-x f'(x) = x (x-In (x) - x) f'ci) = x (x. In (x) - — (0) - dx dx f'(x) = In (x) + x² = -1 X f'(x)= In (x) (log, x) 11 x In a 1 x ln a Final Answer f'(x) = ax Final Answer 9(A) = Ə In/5)+ Final Answer f'(x) = In (x) Page 8 of 16
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 21 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
SEE MORE TEXTBOOKS