The derivative of the function has the same sign for all x in its domain, but the function is not one-to-one. Explain why the function is not one-to-one.             f(x) = tan x

Q: Find the derivative of the function and evaluate  f '( x) at the given value of x.…

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Q: Find the derivative of f (x) = -6 tan (x). Enclose arguments of functions in parentheses. For…

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Q: Find the derivative of f(x) = 2 tan^-1(x) 6^x

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Q: Find the derivative. f(x) = tan-(3) f'(x) =

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Q: Given the derivative of the function, use sign chart to determine the interval(s) on which f is…

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Q: Question * The derivative of the function f(x)= 2x² + tan x + 3e* is:

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Q: Find the derivative of F(x) = 1 / (3x+1) directly from the definition of the derivative:

A: Here the question itself need to use definition of derivative to find out the derivative of given…

Q: Use the following definition of derivative as a function f\x+h}-f(x) f\x)=lim h h --0 To find the…

A: A function is: a relation from a set of inputs to a set of possible outputs where each input is…

Q: use the definition of a derivative to find f′(x). 54.  f(x)=6

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Q: let f(x) be a function such that its derivative is given by: f'(x)=5(x-1)^2(x-2)^3(x-3)^4. which…

A: Consider the graph of given first derivative: If the graph of f '(x) changes from negative to…

Q: Find the derivative of the function using the definition of derivative. 1 g(x) 8 + Vx g'(x) =

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Q: Find the derivative of the trigonometric function. g(x) = 8 tan(9x) g'(x) =

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Q: Use the definition of the derivative to find the derivative of the function h(x) = x+3 then find the…

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Q: Use formulas (1) and (2) and the power rule to find the derivatives of f (x) = 1/x3

A: Definition used -                     1am=a-m            Power rule of derivative -…

Q: Find the derivative of the function g(x) et 5x - g'(x) =

A: We have to use quotient rule for derivative and use  d/dx(ex)=ex d/fx(ax+b)=a

Q: Use the definition of a derivative to determine all points for the function f(x) = ((x+|x|)^2)+1 is…

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Q: The derivative of the function 4= tan'(X+) when X-0:

A: First find the derivative with respect to x than put x= 0 and simplify.

Q: Find the derivative of the function and evaluate f(x) at the given value of x  f(x)=(3x-2)(x^2+3);…

A: Use the derivative of the form f = uv.

Q: Given the derivative of f, use sign chart to determine the interval(s) where f is…

A: The derivative of a function may be used to determine whether the function is increasing or…

Q: Find the derivative of the function using the definition of derivative. f(x) = rx + q

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Q: sketch the graph of a function f whose derivative f' has the given description:f'(x) > 0 for x…

A: Given that f'(x) > 0 for x > 3 and f'(x) < 0 for x < 3. There are many possible graph to…

Q: Find all possible functions f with the given derivative.  f'(x)= ex

A: The given derivative function is,

Q: Let f be a function. Explain, using any method , as to why f(x) and f(x) + 2 have the same…

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Q: Find the derivative of the function f(x) = 8x2 – 13x by the definition of derivatives f(x + h) –…

A: on using this formula we get = 16x-13

Q: 3 Use the definition of derivative to find f'(x) for f(x): II

A: Given:

Q: Let f be a function with a second derivative given by f" = x²(x– 3)(x– 6). Find the x-coordinates of…

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Q: find the 36th derivative of the function f(x)=cos(x) the asnwer is function___.

A: While finding the derivative of Cosx multiple terms we observe a pattern and therefore can predict…

Q: Use the rules of differentiation to find the derivative of the function.

A: Given,

Q: f(x) = 2 tan-(x) – 4"

A: Please refer the attached image for complete solution.

Q: Find the derivative of the trigonometric function. f(x) = −x + tan x

A: Given: f(x) = −x + tan x

Q: Let the function f be a function and suppose we know that its derivative isf'(x) = 3x – 12. (note…

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Q: The derivative of f is equal to f'(x) = f(x)f(-x). Show that f' is not one-to-one. %3D

A: First we will find 1st derivative using the given relationship.

Q: Calculate the derivative of the function. Then find the value of the derivative as specified. g(x) =…

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Q: State the formula for the definition of the derivative of a function f (x) provided x is any number…

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Q: Calculate the derivative of the function, then find the value of the derivative at the specified…

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Q: f(x) =In(tan¯'x)

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Q: 1 Use the definition of derivative to find the derivative of the function f()

A: Solution:

Q: The rule of the derivative of a function f is given. Find the location of all points of inflection…

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Q: The derivative of f with respect to x of f(x) = In x° is

A: Since, you have posted multiple questions. As per guidelines I"ll solve only first question. If you…

Q: a. Use the definition of the derivative to show that the derivative of f(x) = 4x² - 2x+1 is 8x-2. b.…

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Q: Find the derivative of the following function by applying the appropriate derivative rules. f(x) =…

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Q: Find the derivative of the function and evaluate f'(x) at the given value of x. f(x)=(3x+1)/(3x-1)…

A: f'(X)= -9/(3x-1)2 f'(3)=-9/64

Q: For f(x) = 1/x-1  find the derivative and the domain of the derivative

A: Obtain the derivative of the given function as follows.

Q: The derivative of the function has the same sign for all x in its domain, but the function is not…

A: Given, f(x) = x(x2 − 4) To prove f(x) is not one to one

Q: What is the derivative of f(x) = (tan^-1)((3+x)/(1-3x))

A: Given:f(x)=(x+3)arctan(x)1-3xf'(x)=ddx(x+3)arctan(x)1-3x=ddx(x+3)arctan(x)·(1-3x)-(x+3)arctan(x)·ddx…

Q: When given a function f(x), describe (in common language) what the derivative function f'(x) is and…

A: Solution 1:   The derivative of a function f(x) of a variable x is a measure of the rate at which…

Q: Find the derivative of  f(x) = tan(cos(x^2))

A: f'(x) = d (tan(cos x2)dx  f'(x) = sec2(cos(x2))d cos x2dx               because   d (tan(x))dx =…

Q: Find a function f(r) with a derivative given by f'(x) = 6x2 + 4x – 5 and f(1) = 4. %3D

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Q: Find the derivative of the trigonometric function. f(x) = x2 tan x

A: Our Aim is to find the derivative of the trigonometric function given below:-f(x)=x2tan(x) -(i)