Suppose H (x) = (6–6x)°. Find two functions fand g such that (f g)x) =H (x). Neither function can be the identity function. (There may be more than one correct answer.)

Q: An object attached to a spring oscillates around a position and is represented by the function…

A: Substitute value of 1 in y and solve for x.

Q: Find the derivative of the function using the power rule. (a) f(x) = 3/5x5 − 4x −4/3x-3 (b) f(x) =…

A: a) f(x)=35x5-4x-43x-3 f'(x)=ddx35x5-4x-43x-3       =35ddx1x5-4ddxx-43ddx1x-3…

Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

A: By the fundamental theorem of calculus if we have F(x)=∫f(x)dx then F'(x)=f(x). In some cases an…

Q: find the extreme values (absolute and local) of thefunction over its natural domain, and where they…

A:

Q: 5. Find the derivative of ƒ(x) = 3x² + 7x + 4 using the difference quotient, then compute f'(2).

A:

Q: Given f(x) = 9x2 4x + 11, find f'(x) using the limit definition of the derivative.

A:

Q: Find the derivative of the function. g (x) = 6x-3 + 2x Og (x) = 18x + 10x-6 %3D Og (x) = -18x-3…

A:

Q: Find (f-)'(a). f(x) = 4 + x2 + tan(Tx/2), -1 < x < 1, a = 4 %3D (F-1)'(a) =

A:

Q: Find the derivative of the function f(x) = 3x2- 13x 25 by definition of derivatives f(x + h) - f(x)…

A: The differentiation is a process of finding the rate of change of one variable with respect to…

Q: 1. Use the limit definition of the derivative to find g'(x) if g(x) = 2x² – 6x + 13.

A:

Q: Suppose 8 (x) =V (x3 – 8)2. what is the correct result of the derivative of g with respect to x? 3x2…

A:

Q: Let f(x) = 4x^2 – 7x. Use the ɛ/8-definition of the derivative to prove that f'(2) = 9.

A:

Q: Find the values of k that make the function continuous. Jk² + 18x, x > -3 f (x) = kx, x < -3

A:

Q: 4x+1 b. g(x) 9х-2

A: Given : g(x)=4x+19x-2   To Find : Derivative of g(x) using definition   NOTE:If f(x)=uv  , where u…

Q: Find the derivative of the funchion f(x)=9x-5

A:

Q: Given f(x) = -x² – 4x – 6, find f' (4) using the definition of a derivative. Provide your answer…

A:

Q: Let f(x) = 2x ^ 3 – 7x + 3x ^ 7 – 2. Find the 4th order derivative evaluated at x=2. A

A:

Q: 1. Find the derivative of f(x) = 3x³ + 2x using the limit definition.

A: We have to find derivative using definition.

Q: Use the product rule to find the derivative. f(x) = (3x - 2)(6x + 1) %3D O f(x) = 36x - 4.5 !3! O…

A:

Q: find the extreme values (absolute and local) of thefunction over its natural domain, and where they…

A:

Q: A. Determine the derivative of the following using the Four-Step Rule 1. f (г) — 5x — 4 2. f (x) =…

A:

Q: Find y" by implicit differentiation.   9x2 +y2 = 9

A:

Q: Let f(x) = 7x2 + 6x – 4. Then according to the definition of derivative f'(x) = = lim h→0 We can…

A:

Q: Find the value of the constant c such that the function f(x)= (x-2)/( (root 4x+1)-3) if x#2, c if…

A: And

Q: In the function:  f(x)= (3x^2)ln(x) , x&gt;0 When is the function concave up and concave down in…

A: For concavity we need second derivative.

Q: The derivative of is f (x) = 3x* + 7x² + 5x + 2 %3D

A: Given, f(x) = 3x4 +7x2 +5x +2

Q: find f'(x) for f(x) = 2xtan-1 x - ln(1+x2)

A:

Q: Find the derivative of g(x) = 4x 1+4* •

A:

Q: What is the domain of g(x)=ln(25x-x^2) Show all the work.

A:

Q: f(x)=5e^−2x^3+8x^8 f'(x)=

A:

Q: Find the derivative: g(x) = 6x² e- X O g'(x) = 6xe (2-x) Og'(x) = -12xe** O g'(x) = 6xe (2-x) O…

A: We have to find derivative of given function.

Q: If 7x-5,x < 1 h(x) 3x2 – x, 1 < x < 3 Is h(x) continuous at (x=1)?

A: Given: hx=7x-5,x&lt;13x2-x,1&lt;x≤3 We know that any given functiony=fx will be continuous at x=a…

Q: b. f(x) = 4/x(2x° -4x° %3D

A:

Q: 3. a) Use the Chain Rule and the fact that |x| = Vx2 to show that d dx |x| b) Sketch the graphs of…

A: We will use the give solution as we are instructed.

Q: Graph the function y =x + 1                                      x2+1 by applying the first and…

A:

Q: 9

A:

Q: Find a value of the constant k, if possible, that will make the function continuous everywhere. (kx…

A:

Q: Find the derivative of the following using the limiting process. f(x)= -4x2 + 5x

A: Given: fx=-4x2+5x

Q: Find the derivative of the function f(x) = 8x² – 14x by the definition of derivatives f(x+h)-f(x)…

A: Given function: fx=8x2-14x

Q: Let f(x) = x2 – 6 and po = 3 and pi = 2. Use Secant method Example: to find p3.

A: Given: f(x)=x2-6, p0=3 and p1=2 To find: Value of p3 using Secant method.

Q: Find the derivative of the function by first expanding or simplifying the expression. 5x2 + 45x 2)…

A:

Q: Suppose 8 (x) = sec-"(x²). what is the derivative of g with respect to x? A 8 (x) = B 8 (x) =- © 8…

A: Let's find.

Q: Find the derivative of the function f(x) 3x2 – 12x by the definition of derivatives f(x + h) – f(x)…

A:

Q: 2. Find the derivative of f (x) = (3x – 2x? )(5 + 4x) using the product rule

A:

Q: Suppose 8(x) =V (x³-8)2. what is the correct result of the derivative of g with respect to x? 3x2 A…

A:

Q: Find the value for k so that the function will be continuous at x = -4. f(x) = 7x + 47 -x² + 18x81+k…

A: Topic = Functions

Q: defines 2 as y. y- cos (3x2) = 5 a function of x and • differentiate implicity to find az ду

A:

Q: Find the derivative of the function. g (x) = 4x(3x + 2)’ %3D

A: The given function is gx=4x3x+25

Q: Find the derivative of the function f(r) = 3x² – 12x by the definition of derivatives | f(x +h) -…

A: here option C is true 6x-12