Answered: Calculate the derivative d dx x de ²…

Calculate the derivative d dx x de ² (3t4 - t) 28 dt . = dx x 1²₁ ( 314 - 1) 28 t) using Part 2 of the Fundamental Theorem of Calculus. dt

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...

See similar textbooks

Related questions

Q: If f is a function such that lim_ƒ(x)—ƒ(2) x-2 must be true? O The derivative of fat x=2 is 0 None…

Q: Find a formula for the general term a, of the sequence, assuming that the pattern of the first few…

Q: A hole in the ground in the shape of an inverted cone is 13 meters deep and has radius at the top of…

Q: Find the indicated partial derivatives of f(x, y) = 3x³y² using the limit definition. The limits…

Q: Evaluate the double integral where R = {(x,y) | 0≤x≤ 1, 2 ≤ y ≤ 4} Z 2.5 1.5 1- 0.5- Answer Double…

Q: Use basic integration formulas to compute the following antiderivatives or definite integrals.…

A: Use basic integration formulas to compute the followingantiderivatives or definite…

Q: Use the properties of limits to evaluate the following limit: T +42+3 lim >C 2² 3

Q: In order to solve the inequality w³+w² - 9w-9> 0, complete the sign table for each factor on each…

Q: Approximate the definite integral by dividing the interval into 4 sub-intervals and using the left…

A: For the function f(x) on the interval [a, b], the left midpoint formula is here n is the number of…

Q: 14 Find the point on the line y = 2x + 3 that is closest to (0,0). (Show your work)

A: The given equation of line is we use the distance formula i.e.

Q: The force exerted by an electric charge at the origin on a charged particle at the point (x, y, z)…

Q: 13 In Fig.11.41, the curves y² = 4x and y = 2x² intersect at O and A. (a) Find the coordinates of A.…

Q: Consider the following vector field. F(x, y, z) = (9e* sin(y), 5ey sin(z), 6e² sin(x)) (a) Find the…

Q: 6 The shaded region has area ½ unit². Find the value of m. Ay 0 m y=sin x π X

Q: Let f(x) = +3. Complete the solution below for finding the inverse function of f. Do not include any…

A: Solution is given below.

Q: Find the volume of the indicated region. The region bounded by the paraboloid z=25-x^2-y^2 and the…

Q: Find the directional derivative of f(x, y, z) = z³ — x²y at the point (-5, 4, -2) in the direction…

Q: Given f(x, y) = -5x³ fz(4, 4) = f₂(4,4)= - 1xy² – 6y³, find the following numerical values:

Q: 2. Let C be the parametric curve traced out by the equations a √t and yt² - 2t. Find an equation of…

Q: 10 Find the absolute min and max values fo interval [-3,5]

A: Explanation of the answer is as follows

Q: Identify the equation without applying a rotation of axes. x²-9xy + 5y²-y-14 = 0

Q: y' + y tan x = sin 2x cos³ x y3 given x=0, y=1

Q: You have chosen three breeds of chicken for your farm after studying their egg-laying capabilities.…

A: Total 50 chickens,White Leghorns:10Goldlines : 30Rhode Island Reds : 10The average number of eggs…

Q: Sketch the region of integration and evaluate by changing to polar coordinates: √²/2 ¹/2 √² 6x dy dx…

A: I=∫01/2∫3x1−x26xdydx

Q: (a) Find the Taylor polynomial of degree 3 centered at 1 of the function f(x) = -1. e

A: To find a Taylor polynomial of degree 3 centered at 1 of the function .Note: Since the student has…

Q: The graph of a function g is given. The curve begins at the point (−2, 0), goes up and right,…

A: The graph of g(x) passes through the following points:(−2, 0),(−1.5, 1),(−1, 1.5), (−0.5, 1), (0,0),…

Q: If lim fx x-1- all correct answers) 1(₂) lim fx x--1 O ƒ(−1) = 6 None of these are correct 6 and lim…

A: Given that left hand side limit = right hand side limit at x=-1

Q: Given the function: p(v)= -8cos(v) - 3tan(v). dp (v) dv Your solution can only contain the main…

Q: smaller and larger x vaues are incorect.Please show work and correct

A: The given curve equation is

Q: (a) If the initial population is 1000, determine the function Q(t) that expresses the growth of the…

Q: nd the arc length parameter along the given curve from the point where t=0 by evaluating the…

Q: T Let a = ci + j and b = 8i + 15j. Find c so that the angle between a and b is 6 Round your answers…

A: The angle between two vectors and is .

Q: Determine wether the following series converge or diverge. State and explain the test you used to…

Q: a potential ru evaluate the integral fizz [(z² + 2xy)dx + x²dy + 2xzdz, where C runs from (2,1,3) to…

Q: Write down the first five terms of the following recursively defined sequence. a1 = 1; an+1 = -2an+1

Q: Find the given derivative. Dx 8x 1 3 + 9 5|+|mx X

A: Let f(x)=8x−13+9x43

Q: What are the dimensions of the rectangle with one side on the x axis and two vertices on the curve y…

A: one side on x axis and two vertices on curve

Q: 12 Evaluate the following limits: (a) lim (b) lim x³e-² (Show your work)

A: given limits to find (a)

Q: In this problem you will be analyzing a system that consists of a mass and a spring. The mass is…

Q: Sketch the region bounded by the given lines and curves. Then express the region's area as an…

A: The region is between y = ex and y = 0 (The x-axis) from x = 0 (The y-axis) and x = ln20.Option C is…

Q: Find the exact x-coordinate of here there is a horizontal tangent to the graph of f(x)=x9^x. Type…

Q: Find the equation of the line L that passes throught point P(-6, -3, 8) and Q(-5, 2,-4). r(t) = +t

A: Given points are P(-6, -3, 8) and Q(-5, 2, -4).

Q: 15. 3 Krite the Taylor series for F(x) = x about x =2 & Cn (x-2)^₂ Find the first 5 coefficients n=0

Q: Consider the vector field on R2. The associated one-form is: 3 || F(x, y) = (xy + 5x + y, x³y¹4)

A: .To write the associated one-form.

Q: The equation for free fall at the surface of some planet (s in meters, t in seconds) is s = 3.75t².…

A: Given function

Q: f (x) = = Enter your answer by filling in the boxes. x - 7x-6 f(x) = ( D)(C D)([

Q: Orthogonally diagonalize the matrix, giving an orthogonal matrix P and a diagonal matrix D. 2 6 6 11…

Q: Find the sum of the convergent series by using a well-known function. 47 Σ (−1)n + 1. 7"n n = 1

A: ∑n=1∞(−1)n+14n7nn

Q: An inveted conical tank, 12 m high and with 8 m width across the top, is filled with water up to a…

Q: Find the derivative for the function Select one: 2 Ob. OC -2 Od. 1 e. 7 9 x²-2 x when x = 3

Question

Calculate the derivative
x
1₁ (314-1) 28
t
using Part 2 of the Fundamental Theorem of Calculus.
d
dx 1
dt
d
dx
=
X
²₁ (314-1) 28 dt.
t

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Given

VIEW

Step 2: Evaluating the given derivative

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Follow-up Questions

Read through expert solutions to related follow-up questions below.

Follow-up Question

In the (3x⁴-1)²⁸. would the -1 be -x in this solution?

Solution

by Bartleby Expert

SEE SOLUTION

Similar questions

Use the second part of the Fundamental Theorem of Calculus to solve the derivative of the following accumulation function given.
Using Part 2 of the Fundamental Theorem of Calculus, calculate the derivative. (2x^3-1)^28 is not correct
Use the Chain Rule to express the second derivative off o gin terms of the first and second derivatives of f and g.
5,6 use derivative rules to find f1(x)
Find the derivative using the chain rule: x(x^2+1)^(-1/2)
Find the derivative of a composite function using the Chain Rule or General Power Rule. 1.) y=1/(x-1) 2.) y= x/√(x²-1) 3.) y=3(2-x³)^5
2. (20) Use the chain rule to find the derivative of
Use differentials to give an informal justification for the chain rules for derivatives.
Find sixth order derivative of the function f(x)=(x-5)^7.cos(5x) by using Leibnitz theorem.
Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. g(x)= integral of x 1 e4t2 − 3t dt
Give an example of a function f (x) that has one positive derivatives on the range (−1, 0) and a negative derivatives on the range (0, 1).
Find the derivative of a composite function using the Chain Rule or General Power Rule. 1.) y= √(x²-3x+3) 2.) y= ^3√(2x+3) 3.) y= ((2x+1)²+1 )^³ 4.) y= (3x+ 1)^ ⅔ Thank you:')