f(x) -ax e = X <0

Q: - (4y" + fy) = -A with y(-1) = -2, y(-1) = 1, y"(-1) = 0 Use x1 = y, x2 = y', and x3 = y". x + with…

A:

Q: Find the critical numbers of the function. f(x) = x² log,(x? + 2)

A: fx=x2log7x2+2⇒fx=x2logx2+2ln7      ∵logab=logblna Critical numbers are the values of x for which…

Q: Find all critical points of the function f(x)=x√1−x2.

A:

Q: find the absolute maximum and absolute minimum values of ƒ over the interval. ƒ(x) = (4/x) + ln x2,…

A: Given,

Q: Find the domain and all critical points in the domain y=ln(x-5)

A: Domain: (5,∞),{x|x&gt;5}

Q: The Critical Point of y = xe*

A: Given; y=xe^x

Q: Find the length of the curve e^x / 2 + e^-x /2 between x=0 and x=1

A:

Q: A-Find the local minimum and maximum of f(x)=xe^3x using the first and second derivative test.…

A: for question A see 2nd ,3rd and 4th step. for question B see 5th step.

Q: 3x-1 Find the critical points of the function f (x) = x+6

A: Here the given Any point x is said to be a critical point of the function f(x) if f(x) is not…

Q: Find the critical numbers of the function.…

A: Critical numbers of a function are the numbers for which first derivative is zero or undefined. Now…

Q: 3x-1 ind the critical points of the function f (x) = x+6

A:

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

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: c) If f'(x) =3+ 4x and the curve f(x) passes through the point (1, 8) i) Find f(x) ii) Find the…

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Q: (a) Find the critical numbers of the function f(x) = x6(x – 4)2. (b) What does the Second Derivative…

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Q: The derivative of the function f(x) =x ln x is: a. f'(x) = In x +1 b. f'(x) = ln x +. c. f"(x)= In x…

A:

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

A:

Q: Find the critical point of the following function y= -x2 + 2x - 2

A: Given: The function y=-x2+2x-2, To find: The critical point of the given function.

Q: find all critical points of the function f x = x^−1 − x^−2

A:

Q: giver yn f(५) ५) -2x + 3, + 2, find of ax

A:

Q: Find the absolute maximum and minimum values of f(x)= ln(x^2+3x+15) on the interval [-2,1]

A: We find f'(x) using chain rule

Q: Find all critical points of the function f(x) = x² – 4x + 6 = x

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Q: Use variation of parameters to find a particular solution of the ODE y" – y = 2e".

A: Given differential equation is  y''-y=2ex we have to find  the particular solution of this…

Q: Find the absolute minimum and absolute maximum of f(x)=ln(x2+10x+16) over the interval [0,4]

A: It is given that, f(x)=ln(x2+10x+16)   over the interval 0,4we have to find absolute minimum and…

Q: Example: Use the Secant method to estimate the root of f(x) = e-x-x. Start with initial estimates…

A: To use secant method to estimate the root of fx=e−x−x

Q: Find the critical points of the following function.   f(x) = 1/x - ln(x)

A:

Q: Find the positive critical point of the function f(x) =

A: For critical points set first derivative of function is equal to zero and solve for x . f ' ( x ) =…

Q: Given the function f(x)=x4-6x2-60x2+134x+30 The value x=1 satisfies the equation f'(x)=0 (that is,…

A: The function f(x) is maximum when f''(x)&lt;0 at x=a The function f(x) is minimum when f''(x)&gt;0…

Q: 1) The derivative of f (x) = e2x² cos x is: 2) Simplifying the expression e n(4x-3) + eln 2x In(e3x)…

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Q: Find the positive critical point of the function f(x)=x/x^(8)+6

A:

Q: 3. Use derivatives to find the critical points anc (a) f(x)= x³ – 9x2 + 24.x + 5

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: find the extreme values on the interval f (x) = x − 12 ln x, [5, 40]

A:

Q: Find the critical numbers of the function. f(x) = x³ + x?

A:

Q: What happens when you try to approximate V3 by using fixed point iteration of g(x) = 3/x?

A: To determine what happens when 3 is approximated using fixed-point iteration.

Q: Find the positive critical point of the function f(x) 2+3

A:

Q: Let h be a function that has second derivative (x+ 1) (x – 2) (x + 4)e5 h"(x) Is x=2 the…

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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: A function f has derivative f′(x)=x^3(x−1)^2(x+1)(x−2). At what numbers x, if any, does f have a…

A:

Q: Consider the function g(x) =2x³ - 6x+3. The critical values for this function are and since these…

A: We have to find critical points

Q: • Find f (x) of f(x)= by using the definition of the x-1 derivative. • 1- Find if y=3t-4 and t Vx+…

A: we have to find the derivative using definition. as per definition  f'(x)=limh→0f(x+h)-f(x)h

Q: Find the critical points of f(x)= (x 2-3)ex

A: Calculation: For critical points put first derivative of f equals to zero.

Q: A continuous function y = ƒ(x) is known to be negative at x = 0 and positive at x = 1. Why does the…

A: Given that f(0)&lt;0 and f(1)&gt;0  f(x) is a continuous function.

Q: 2 Compute the derivative f'(x) of the logistic sigmoi 1 f (x) : 1+ exp(-x)

A: We have to find

Q: find the absolute maximum and absolute minimum values of ƒ over the interval ƒ(x) = x - 2 ln x,…

A: The given function and the interval is,

Q: 4)Find the inflection points of the function . f(x)=ln(x^(2)+1)

A: In this question we will find the point of inflection   we have given function   f(x)=ln(x2+1)…

Q: Find, if any exist, the critical values of the function. f(x) = a – 16a - 6 Critical Values: x = Pre

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Q: 9x Find the derivative of the function f(x)=In x2+15 2x O f'(x)= x²+15 15-x2 f"(x)= x2+15 2x O…

A:

Q: Find the critical numbers of the function f(x)=x²5 (4− x)

A:

Q: Use algebraic methods to determine the critical value(s) of f(x) = x √4−x.  Give your answers in…

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: