Use the rules to get a formula for the derivative of m(t) = In(t? + 3) vt? + 3 with respect to t Use the rules to get a formula for the derivative of x(y) = (sin(y))" with respect to y tan(f) Use the rules to get a formula for the derivative of L(f) = 4 ln arctan(f). with respect to f

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...
icon
Related questions
Question

can you help me with this question, it does have 3.

Use the rules to get a formula for the derivative of m(t) = In(t² + 3) Vt² + 3
with respect to t
Use the rules to get a formula for the derivative of x(y) = (sin(y))"
with respect to y
tan(f)
Use the rules to get a formula for the derivative of L(f) = 4 1n
arctan(f).
with respect tof
Transcribed Image Text:Use the rules to get a formula for the derivative of m(t) = In(t² + 3) Vt² + 3 with respect to t Use the rules to get a formula for the derivative of x(y) = (sin(y))" with respect to y tan(f) Use the rules to get a formula for the derivative of L(f) = 4 1n arctan(f). with respect tof
Expert Solution
Step 1

Here we will apply basic rules of derivatives and chain rule of differentiation. 

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning