#3 Find f such that the given conditions are satisfied. f'(x) = 5x² - 7x + 4, f(0) = 2 O f(x) = x - x²+4x - 2 f(x) = x3 -2x2+ 4x - 4 O f(x) =D x + 극x2 + 4x + 2 3. %3D MacBook Air F6 LA 000 F5 000 F4 F3 F2 %$ 4. 2.

Q: Find the minimum and maximum values of the function y = 8Vx² + 1 – 7x on the interval [0, 8] by…

A:

Q: Find the minimum and maximum values of f(x) = 2 on the interval [9, 10] by comparing values at the…

A:

Q: Find the maximum and minimum values of the function f(x)=10sin(x)cos(x)+7 on the interval [0, pi/2]…

A: To find the critical values we solve f'(x)=0

Q: Find the maximum and minimum values of the function f(x) = 6 sin(x) cos(x) + 11 on the interval [0,…

A: Givenf(x)=6sin(x)cos(x)+11,           [0,π2]Now calculate for the critical pointsDifferentiate above…

Q: ) The tangent line to y = f(x) at (-5, 2) passes through the point (-7, -5). Compute the following.…

A:

Q: The derivative of the function f(x) = 25 x3 -6 x2 +7x- 88 at X = 3 using a step size of 0.5 and…

A: on solving we get

Q: 6 Use the Linear Approximation to estimate Af for f(x) = when a = 2 and Ax = 3+x2 (Use decimal…

A:

Q: Find f'(x). f(x) = O O O 6x - sin² (5x) f'(x) = O f'(x) = f'(x) = f'(x) = = 6-10sin(5x)cos(5x) 2√6x…

A:

Q: 4 – x2, - 2x, X 0

A: given f(x)=4-x2,  x≤0-2x,    x>0

Q: 1. Find the critical points of the function f(x, y) = x² + 4xy. 2. Find the local maximum and…

A: As per guidelines we can answer only one question at a time, so if you need more answers kindly…

Q: Use second derivative test, If x3 f(x) = 25x + 5 then f(x) has a 3 local maximum at the point x = -3…

A:

Q: Find the maximum and minimum values of the function f(x) = 10 sin(x) cos(x) + 10 on the interval |0,…

A:

Q: Find the minimum and maximum values of the function y = 3Vx² + 1 – 2x on the interval [0, 6] by…

A: Maximum and minimum value function

Q: Use algebraic methods to determine the critical value(s) of f(x)= x/(x^2-x-2). Give your answers in…

A:

Q: The function passes through the points (0,3) (2,6) (4,4) and (6,1) x = 2 and x = 6 are critical…

A: Given data:     The given points are: (0.3), (2,6), (4,4), and (6,1). The first critical point is:…

Q: 1. Find the maximum and the minimum values of the function f(x)= 2x – tanx %3D in the interval 3' 3

A: Given: f(x)=2x-tanx Differentiate the function with respect to x. f'(x)=ddx(2x-tanx)=2-sec2x…

Q: 6. Find all critical numbers and use the Second Derivative Test to determine all local extrema. a)…

A: for part a see 2nd step. for part b see 3rd step.

Q: Since f'(x) > 0 when x 0 (x 1), f is increasing on the intervals (--, -1) and and decreasing on the…

A: Given that: f'(x)=-4x(x+1)2(x-1)2

Q: b) The critical points for the function f(x, y) = x³ + xy² + 6x² + y² are (-1,3), (–1, –3), (-4, 0)…

A:

Q: 73 9x +4 then f(x) has a local maximum at the point 3 Use second derivative test, If f(x) %3D - O…

A: Topic:- application of derivatives

Q: Find the x-coordinates of all critical points of the given function. Determine whether each critical…

A:

Q: The tangent line to y = f(x) at (-1,-8) passes through the point (-7,5). Compute the following a.)…

A: The tangent line to y=f(x) at (-1,-8) passes through the point (-7,5)

Q: The stock price for a certain corporation can be approximated for the years 2007 through 2015 by…

A: At the point of local minima or Maxima the derivative vanishes.

Q: Use second derivative test, If f(x) = - 4x + 10 then f(x) has a local maximum at the point 3 %3D O r…

A: here we need to find the point at which the function has a local maxima. the solution is following.

Q: 1. Find the critical points of the function f(x, y) = x² + 4xy. 2. Find the local maximum and…

A: f(x,y)=x2+4xy we have to find the critical points.

Q: The average rate of change of Ax) = x +x -x-1 over the interval o<xs1 is -2 1 O -1 2

A:

Q: (5) Use the first derivative test to classify the critical numbers of the function s(r) = 2¹-4r³+17.…

A:

Q: Find all critical points of the function: f (x) = sec−1 x − ln x

A: Given function f(x) = sec−1 x − ln x

Q: 5. Find the critical numbers, and the intervals of increase/decrease for y=ln(4-x) %3D

A:

Q: The function f (x) = x' + 1 is continuous in the interval [-,2, 4] and differentiable in the…

A: Solution-

Q: Suppose (-2,1) is a critical point of f(x, y) and that the Second Derivative Test applies to f(x,…

A: Given, (-2,1) is a critical point of f(x,y). We have to answer the following...

Q: Find all critical points and then use the first-derivative test to determine local maxima and…

A: Given function is fx=xx2+4. We have to find the critical points. Differentiate fx=xx2+4 with respect…

Q: f(x) = lim (6x + 2 4x + 3) = 6x + 3 Ax-->0 f (x) = lim (6x + 2 4x + 2) = 6x + 2 %3D 4r-->0 f (x) =…

A:

Q: 1. Find all the critical numbers of the function (Justify Your Answer) (a) [5Vx – 2 f(x) = x > 2…

A:

Q: f(x,y) = xln(x^2+y^2)

A: Consider the given function, fx,y=x·lnx2+y2 Obtain the partial derivative w. r. t. 'x' as ,…

Q: Find the critical numbers of the function  f(x) = 4x - tan x

A: fx=4x-tanx Differentiating with respect to x, we get f'x=41-sec2x=4-sec2x

Q: Find all critical points of the function y = e(3 e² (3 – x²). Then, using the second derivative…

A:

Q: Find a root of the function f(x) = 2x – sec(x-3) + 1 near x = 4.5 using any open method (3 decimal…

A: To find the root of the below function near x=4.5. fx=2x−secx−3+1

Q: 8. Let f(x) = 9x +- Find the critical number(s) and determine whether they are local…

A: fx=9x+1x take the first derivative f'x=ddx9x+1x f'x=ddx9x+ddx1x f'x=9-1x2 take the second derivative…

Q: 3. Find the critical points of the function f(x,y)=xln(x+y) Use the Second Derivative Test to…

A: The given problem is to find the critical points of the given function and use second derivative…

Q: 1. Id f (u) = - sec u, find f '(u)

A: According to our guideline, we are supposed to install only the first question if you want any…

Q: Use second derivative test, If f(x) = 36x + 4 then f(x) has a local 3 maximum at the point O x = -7…

A: Here we need to find the local maxima of the function.  The solution is following .

Q: 1. Use the first derivative test to find the location of all local extrema for 3 f(x) = -x³ +x+ 18x…

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: 2. Integrate the function (x+2/x)ax using multiple-application trapezoidal rule with n= 3

A: Trapezoidal Rule: ∫abf(x) dx≈∆x2(f(x0)+2f(x1)+ ... +2f(xn-1)+2f(xn))where ∆x=b-an

Q: Limit x approaches to + infinity 3x+1 ÷ 2x-5

A: To evaluate: limx→∞3x+12x-5 Solution: Here,limx→∞3x+12x-5 On simplifying further we get:…

Q: Find the x-coordinates of all critical points of the given function. Determine whether each critical…

A:

Q: The critical numbers r = -1 and x = 2 are found from a continuous derivative f(x). Given that the…

A:

Q: Find the maximum and minimum values of the function f(x) = 4 sin(x) cos(x) + 9 on the interval 0, by…

A:

Q: The stock price for a certain corporation can be approximated for the years 2012 through 2017 by…

A: Given that                                                         f(x)=6.3x2-168x+1199 derivative…

Q: Find the absolute maximum and minimum values of f(x) = (z² + æ)f over the interval [-3, 4]. and it…

A: