Homework Help is Here – Start Your Trial Now!
Math
Calculus
.3 V. Jx Vt dt

.3 V. Jx Vt dt

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...
See similar textbooks
icon
Related questions
Question

Solve g) section v, using the leibniz rule, differentiate with respect to x.

3 f(x) dx. X (e) Concept Check: Let g(x) = f vt¹¹ +1dt. Find g(4). (f) The Leibniz Rule: Suppose that a(r) and b(r) are both differentiable functions of r, and that f(x) is integrable. Prove that the following formula is true. HINT: Use the FTC. pb(x) de fa) f(t)dt = f(b(2) db-f(a(z))da dx Ja(x) dx (g) Using the Leibniz Rule, differentiate the following functions with respect to x: 2 i. ² sin³ (t) dt ii. Se (²) In(t) dt ex iii. sin(t) dt 20 √x 1 65,000 iv. 9,100 (cos(t)) dt V. X X 3 x = 11. Find Vt dt (h) Concept Check: Let f(x) = x² - 5x + 6, and F(x) = f f(t)dt. Find and clas critical points of F(x). Use this information to graph F(x).
Transcribed Image Text:3 f(x) dx. X (e) Concept Check: Let g(x) = f vt¹¹ +1dt. Find g(4). (f) The Leibniz Rule: Suppose that a(r) and b(r) are both differentiable functions of r, and that f(x) is integrable. Prove that the following formula is true. HINT: Use the FTC. pb(x) de fa) f(t)dt = f(b(2) db-f(a(z))da dx Ja(x) dx (g) Using the Leibniz Rule, differentiate the following functions with respect to x: 2 i. ² sin³ (t) dt ii. Se (²) In(t) dt ex iii. sin(t) dt 20 √x 1 65,000 iv. 9,100 (cos(t)) dt V. X X 3 x = 11. Find Vt dt (h) Concept Check: Let f(x) = x² - 5x + 6, and F(x) = f f(t)dt. Find and clas critical points of F(x). Use this information to graph F(x).
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer