How are the functions f and g given by f (x) = (1.05)ª and g (x) = eº.05z similar? How are they different?

Q: - The average rate of change of the function f(x) = x? between x = 1 and x = 5 is average rate of…

A: The average rate of change is the rate of change of one quantity depending on the change of another…

Q: Disprove the statement ln x / ln y = ln x - ln y,  by, a) Letting y equal a positive constant of…

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Q: "Si" means "if" The function f is defined as follows: Knowing this, calculate: f(x) = (4x³+ln(3x) si…

A: Concept: Integration: Integration is a strategy for combining or joining the parts to get at the…

Q: Differentiate the following functions: ex- e-x 2. y e*+e-x

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Q: Find the indicated derivative. x2 Find f(3)(x) if f'(x) = x2 + 6 f(3)(x) =

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Q: Consider the function f(x) =3 on the interval [1,5]. A graph of the function appears to the left.…

A: SOLUTION-

Q: OLVE THE FOLLOWING: What is the derivative of.6x* – 7x3 + 5x² ? What is f'(x) if (x) = (2x² + 1)(x²…

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Q: Solve f(x) = (1/5)x where f(x) = 0 ( do not convert it to decimal form)

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Q: In the function:  f(x)= (3x^2)ln(x) , x>0 What are the inflection points of the function?

A: To find inflection points of the function we need second derivative of the function.Use product rule…

Q: Find the domain and range of the function f(x, y) = ln(5 − x − y)

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Q: Differentiate the given function: g(x) = sec¯ ec- (x²) ...

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Q: 3. y = 5x - sec (x) differentiate the given function

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: can you explain..  differnate this function with the respect of x  F(x) = (x^8 + 3)ln x^5)

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Q: The function f is given by f (x) = (1+x)=. How do the values of f behave for small positive and…

A: Here we define  f  for small or large positive value of x.

Q: Let f(x)=ln(3). What is f'(x) when x=1.4?

A: It is differentiation.

Q: For what values is the function f(x)= ln(x+1)/x^2+1 continous? Can you please explain how to…

A: If , g(x) is continuous and h(x) is continuous. Then g(x) / h(x) is continuous.where h(x) not equal…

Q: 4 – x² f(x) 7+ x2

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Q: For the drug metabolism function f(x) = -x(x+2)(x-3) , find the average rate of change of f(x) on…

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Q: using the definition of derivative to find f'(x) for the function:f(x)=4/x. How do I solve this?

A: Given problem is to find the derivative of f(x) = 4/x

Q: Find a function f that has the derivative f '(x) and whose graph passes through the given point. f…

A: Solution: The objective is to find the function f(x)

Q: Differentiate the function. f(x) = 9x ln(6x) − 9x

A: Explanation and solutions is given below....

Q: 5 .Let f(x) =x² -e*. Find the value of x for which the second derivative s"»equals zero. 2

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Q: The average rate of change of the function f(x)= x2 between x =1 and x = 5 is average rate of…

A: Average rate of change of f(x) between x=a and x=b is f(b)-f(a)b-a

Q: On what interval is the function f(x)=x^2e^x concave downward?

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Q: Differentiate the following function Y=ln(x^2-1)/(3x+2)^2

A: Derivative of logarithm function

Q: 1, Differentiate the function. (7) f(x)= e (8) f(x)= (9) f(x)= Vx+/2x+ V2x (10) f(x)= 81+

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

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: Find the average rate of change of the function from x = 1 to x = 2  F(x) = 8/x^2   Average rate…

A: We have to find average rate of change of function

Q: Find f'(1)when f(x) = ln(e*x").

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Q: Find the derivative of f(x)=((e^x)+(x^2))(3sinx+4cosx

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Q: 7–46 Find the derivative of the function. 8. F(x) = (1 + x + x²)9

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Q: Find a function f that has the derivative f (x) and whose graph passes through the given point. f…

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Q: Find f' (æ) for f (x) = 7 ln(4 + æ²).

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Q: Find the inflection points of the function f(x) = x 2 ln x

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Q: How do you find the domain and range for f(x,y) = ln(x+y)?

A: The given function:

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 f''(x) for: f(x)=ln⁡x/4x

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Q: Given f(x)=ln(5x), what is f'(x) when x=14.2?

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Q: Find the average rate of change of the function f(x) 2x2 2x- 2, on the interval x E [2,4]. Average…

A: The average rate of change between two input values is the total change of the function values…

Q: Find the absolute extreme values of the function on the interval. f(x)=ln(x+2)+1/x , 1 less than or…

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Q: termine the derivative of the function g(x) In x+ 10 %3D r- 10

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Q: On the graph of f(x)=sinx and the interval [0,2π), for what value of x does the graph cross the…

A: Plot the graph of sinx given below

Q: The derivative of a function is g'(x) = 19 – 6x² and the graph of g(x) passes through the point P(3,…

A: To find  g(x)

Q: 4. The graph of the first derivative f'(x) of a functionf is shown below. At what values of x does f…

A: Given graph of f'(x) is The value of x where f'(x)=0 are called as critical values where extrema…

Q: [4] For the Basic Absolute Value function f(x) = x, (a) state its slope (derivative) function (b)…

A: The absolute value function, |x| is defined as follows. |x|=xx≥0-xx<0   The graph of |x| can be…

Q: 1/3 Find the absolute extrema of the function f(x) = (x + 16) on the interval [-5,2]. Find the…

A: To find: Absolute extremum of the given function.

Q: 14) Find the first derivative of f(x) = 2*²2*

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Q: Differentiate the function.

A: Given: y=ex1-ex

Q: Find the derivative of the function f(x) = 3x? – - 12x – 28 by definition of derivatives f(x + h) –…

A: A function is a relation which maps each value in its domain to exactly one value in its range. The…

Q: what’s the derivative ? f(x)= ln(x^3 - 7x^2 + 1)

A: topic - derivative of a function