For the function f(x)=(x+3)/(x−4), find (f(x+h)−f(x))/h

Q: What is the length L of the interval on which the function f(x)=x3−6x2−15x+8 is decreasing?

A: Given

Q: Given the function f(x) = Vx5 – 3Vx2, find the interval(s) of increase.

A:

Q: Consider the function:  f(x)=5x+2   and   g(x)=3x-4  Solve for - (f°g) (x)

A: Given:

Q: If f (x) = (e²)² , what is f'(x) ?

A:

Q: f(x)=2x(10x/x2-1 +7x5 Finf f'(x)

A: We can solve the given problem using chain rule of derivative.

Q: What is the value of f(1) - 168 in x³ Inx dx = f(x) ((1/4) Inx-B) + C?

A:

Q: Find the point at which the line f(x)=4x−11 intersects the line g(x)=−2x+1

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Q: Find f' (2) for f(x) = x²e2¤-3

A: To find the derivative of the given function we have to apply chain rule of differentiation and the…

Q: If f(x) = (x² +2) e², what is f'(x)?

A:

Q: For the function f (x) = (*-2)* x+2 , find f-'(x).

A:

Q: 3.lf g(x)=x* – 2x³ – 7x2 + 8x + 16, find f(3).

A: Given that, fx=x4-2x3-7x2+8x+16 We have to find f(3).

Q: • Find f" (3) for f (æ) = x³ – 2x4 + æ³ + 2x? – 7x + 3. showing the steps in your process. - -

A:

Q: f(x) = x + 4x + 3 for function (f')-'(8) =?

A: The given function is: f(x)=x2+4x+3 Therefore the derivative of this function is: f'(x)=2x+4

Q: Solve for g'(x).

A: Theorem used:

Q: Find the domain of f(x)=ln(4x-20)+ln(x 2+9x+18)

A:

Q: 2. f(x) = 9x2 - 1 at x = 1

A:

Q: Find g(-T" 1+h -)-2 for h<<r r

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Q: Solve for x x'(t)=x-t

A:

Q: For f(x) = 2x² + 5x+", find. 10 S(a +h)- f(a) if h +0. h

A:

Q: For the rational function f(x)=x+1x2−2x−3, solve f(x)=1

A:

Q: Find the slope of f(x) = -3x2 – 6x at x = 1

A:

Q: Q1: Find inflection point of the function F(x)=X³- 2X+1

A: Our Aim is to find the inflection point of F(X)=X3-2X+1 -(i)

Q: Find the slope of f (x) =e8x-10 at x-1.

A: The function is given by fx = e8x-10 The point is  x = x0 = 1 Formula: The formula to evaluate the…

Q: Differentiate the function. f(x) (9x2 15x)e* = f'(x)

A: First simplify the given function as follows.

Q: Find the value of the constant k that makes the function continuous. 2x2 - 4x - 16 if x #4 g(x) = х-…

A: Solving by continuous definition we have

Q: Find R2,2(x) for f(x)

A: Given, fx=ln1+xx. We have to find R2,2x for fx. Here, R2,2x is called as Pade approximation. Pade…

Q: Solve f(x) = 0, where f(x) = (x + 4)²(1 - x).

A: We have been given the function  f(x)=(x+4)2(1-x)

Q: For the function f(x) = 3x + 5, what is f(x) when x=3?

A: If fx is a function the value function at x=a is calculated as f3. Consider the given function,…

Q: 2. Solve for f-1(x) when f(x) = v2x + 3. %3D

A: Write x in terms of y for calculating inverse of y.

Q: Find f'(x) for the function. 6x3 - 2x + 1 f(x) x2 "(x)

A: Given query is to find the derivative of the function.

Q: Given f(x) = 5x – 3, solve for x when f(x) = 7. | %3D

A: We have to find

Q: Find the domain of f(x) = ln(5x + 2).

A: fx=ln5x+2

Q: The derivative of f(x)= (x2+2x)(x²-2x) is a. 4x3-8 O b. x-4x2 с. none d. 3.

A:

Q: 8. For the function: f(x) = x² - 7x - 4 find f( - 5)

A:

Q: Find the point at which the line f(x)=−x−4 intersects the line g(x)=5x+14.

A: On solving this we will get

Q: Let f(x) = 2x² – 12x + 3. For what x-value isf' (x) = 0? x =

A: To find: The values of x at which f'(x)=0. Given information: The function is f(x)=2x2-12x+3.…

Q: x°-x°+4x* -6x°+2n²- 8x t8=0 Solue for x,

A:

Q: Q2: Find f-(x) 2x - 3 f(x): I +2

A:

Q: What is g'(x) when g(x) = ln (x³ + 3x² + 5x + 6)?

A:

Q: If f (x) = x² – 2x, find: %3D f(-4) = [ ? ]

A: f(x)=x2-2x

Q: f(x) = 2x² + 8x at the point x = 2. %3D

A: Given data:     The given function is: f(x)=2x2+8x   The expression for the differentiation of the…

Q: Find the most general antiderivative of the function f(x) = 72° – 6x³ + 3x?.

A:

Q: Find the interval in which the function given by h(x)= 4x – 6x – 72x + 30 is decreasing.

A:

Q: Find the extreme values of the function f(x) = (x² + 2x)³ on the interval [-2, 1].

A:

Q: - f(x) = 4x² – 10z + 11, 0 < ¤ < 7.

A: fx=4x2-10x+11;0≤x≤7 Differentiate the above function with respect to x. f'x=ddx4x2-10x+11=8x-10…

Q: How do I wvaluate f(x) = −2x2 + 4x for f(a+h)?

A: Topic = Functions

Q: Solve for f(g(x)) and g(f(x))

A:

Q: Find the point of dimminshing returns (x,y) for the function R(x)=4000-x3+48x2+500x, 0<x<20, where…

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Q: Which of the following functions is NOT a solution of x" - 4x + 4x = e¹?

A: