given the function f(x)=axln(x+b), where function is decreasing at x=1-b?

Q: Find the domain of function defined as follows. y = ln(x2 - 16)

A: y=lnx2-16Domain:       The domain of a function is the set of all possibleinputs for the function

Q: Find the derivative of the function f(x) = -8x² – 18x + 23 by definition of derivatives f(x + h) –…

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Q: The derivative of f(x) =3 4 is %3D

A: Consider the given function, fx=4x5 The property of derivative is defined as, ddxxn=nxn-1 Convert…

Q: The degree of the derivative of f(x) = (3–x)'(x – 12)° is

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Q: Find the interval/s where the function is increasing and where it is decreasing: f (x) = x³ – 3x + 3…

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Q: Find the derivative of the function. f(x) = x2(x − 2)7

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Q: Find the critical point for the function f(x)=-x² +3x+1

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Q: Find a formula for the linear function f(x) with slope 2 and vertical intercept 1. f(x) =

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Q: Determine where the function f(x) = √ x / x + 1 is increasing and where it is decreasing.

A: fx=xx+1

Q: For the function f (x) = 2x° – 3x2 – 12x, use the First Derivative Test to find the location of any…

A: The given function is- fx=2x3-3x2-12x To find the critical points of a function- dfdx=0…

Q: Find the indicated derivative.f '(x) for f(x) =(x + 3)(x − 4)x2 + 4

A: Given function f(x) = (x+3)(x-4)x2+4differentiating this function with respect to x we get…

Q: Show that the function f(x) = e^-x^2/2 has a relative maximum at x = 0.

A: Given function is: fx=e-x22 Differentiating f(x) with respect to x we get, f'x=e-x22×-2x2f'x=-xe-x22…

Q: ƒ(x) = (x³ – 4x) 10

A: Solve the derivative

Q: am having trouble finding the equation of the line tangent to the graph of f at (1,1), where f is…

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Q: Find the derivatives of the function f(x) from the first principle x4+4

A: Here is the solution

Q: Find the instantaneous rate of change for the function at the given value. f(x)=x2+4x at x=-4

A: The instantaneous rate of change of a function at a point can be evaluated first by finding the…

Q: How many critical points does the function f(x)=∣∣x3−12x∣∣ have?

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Q: Given: f(x)=-x^2-4x-3 What is the derivative of f(x) at a=-4?

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Q: Find the anti-derivative F(x) of the function f(x) = 2x - 7 with F(2)=55- %3D

A: We have to find the anti derivative of the given function following the given condition. anti…

Q: when you have f(x) = x^2 + 7x +10 / x^2 - 7x +6 what is the average rate of change of the function…

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Q: Find the derivative of the function. f(x) = (3x + 2)3(x2 + x)2

A: Differentiation use product formula

Q: Given f(x) = 2, find f' (1) using the definition of a derivative. x-2 Provide your answer below:…

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Q: The function f(x)=(1/(x+1))+4 is decreasing on what interval(s)?

A: Consider the function  fx=1x+1+4

Q: Find the positive critical point of the function f (x) = x / x^4 + 4

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Q: Given the function f(x)=x^(3)-x^(2), a relative maximum point occurs at x= ?

A: Let f(x) be the given function and c be the critical point of f. If f"(c)<0 then f has relative…

Q: (B) Use the first derivative test to find the maxima and minima for f(x) = 3. 5z2 + 6x +9. 2.

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Q: Find the slope of the secant line between x=−3 and x=4 on the graph of the function f(x)=3x2−x+2.

A: we will find slope of secant line by two point slope formula

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

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Q: The interval in which the function is decreasing is at x2 бх + 1 2 x3 y = 3

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Q: f(x)=5e^−2x^3+8x^8 f'(x)=

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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 algebraic function. f(x) = (4 − 3x − x2)/(x2 − 1)

A: We have to find the derivative of the algebraic function: fx=4-3x-x2x2-1 Rewriting the function,…

Q: Find the maximum and minimum values attained by the function: f(x) = x +-

A: Here the given function as fx=x+5x or fx=x2+5x Differentiate with respect to x…

Q: If f(x)=2+ x-3 for all x, then the value of the derivative f'(x) at x 3 is

A: Given, f(x)=2+x-3

Q: Suppose we have a revenue function given by R(x)=3x^3−αx, where α is a constant. What would the…

A: Formula used:

Q: Is f (x) = 4e-0.3xan increasing or a decreasingfunction?

A: Given: fx=4e-0.3x To Determine: Whether fx is increasing or decreasing function. Concept: a. If…

Q: Find the critical points of the function f(x) = 4x° – 12x.

A: The given function is fx=4x3-12x. The critical points of any function is given by f'x=0.

Q: For k(x)=(3x+2)(−x+2)(−3x2+x+1), find the derivative of k(x) using the product rule.

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Q: Find the higher-order derivative    1. f ''(x)=16x^(3)-38x^(2)

A: Derivative

Q: The average cost function for the weekly manufacture of retro portable CD players is given by C(x)…

A: Given, function is

Q: Find Derivative f'(x): f(x)= 5e²x - 40e(-0.1x) + 11 + In(4x)

A: Given f(x) = 5e2x - 40e(-0.1x) + 11 + ln(4x)

Q: 4) Where is the function g(x) = 3x2 -x+ 5 differentiable?

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Q: Suppose the first derivative of a function is f'(x) = (x- 30)(19x+ 1). The function f is decreasing…

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Q: Q3\ Find the second derivative of the funetion F(x)= 3x + 2x - 6x2 -4

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Q: Find the point on the graph of f(x) = Vx that is closest to the point (8, 0). (х, у) -

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