For the function y = f(x) given below graphically, find f(2) – f(-1)

Q: For the function f(x) = 4x- 3x +2x +6x +2, find f"(x), the third derivative of f, and f''"(x) = %3D

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Q: f (x) = (x² – 1)**1

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Q: Using the criterion of the first and second derivatives, find the graph of the function c) F(x) = x…

A: Topic = Functions

Q: For the following function, describe the concavity and find relative extrem using the concavity test…

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Q: For the function f(x)=2x^3-12x^2+20, Use the SECOND DERIVATIVE TEST to find the relative extrema.

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

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Q: Find the derivative for the function f(x) = (x3 – 7)2

A: ddxx3-72

Q: Find the derivative of the algebraic function. f(x) = (x2 + 5x + 6)/(x2 − 4)

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Q: Using the criterion of the first and second derivatives, find the graph of the function a) F(x) = x³…

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Q: x2 + 6 (a). f(x) x2 – 6

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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: For the function g(x) = x², the average rate of change for the interval [-1, 3] is: For the function…

A: Here we have to find average rate of change of function.  The given function is g(x)=x2

Q: Consider the implicit relation yx +1= 7y. In the box below, solve the equation for y as a function…

A: In this question, we have to separate y in terms of x.  i.e. y=f(x)

Q: Find f'(x) using the rules for finding derivatives 4x2 - 5x + 2 f(x) = 3x +7

A: We have to find

Q: For the function y = f(x), find f'(a)

A: Here we have, f(x)=x2+5x+2; a=-3 We have to find f'(a)=?

Q: The Range Rf for the function y = Vx is:

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Q: Consider the function x + 5 f(x) : + v2 + 7x 4 – x Use the definition of derivative to find f'(0).

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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: Find the derivative. f(x) = 4/6x +7 f'(x) = %3D

A: As we know thatddxxm=ddxxm2=m2xm2-1

Q: Given f(x) = 3 – 8x, find f' (-9) using the definition of a derivative. Provide your answer below:…

A: Given f(x)=3-8x To find f'(-9) by definition of derivative

Q: The range of the finction f (x, y) = lIn(-x²- " + 1) is (0: +00)

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Q: g) g(x) = (2vx – 1)(VF+3)

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

Q: Find the derivative of the function. g(x) = (2 + (x2 + 1)4)3

A: Consider the provided function, gx=2+x2+143 Find the derivative of the function. Applying the chain…

Q: Find the derivative of the function. y = x2 √(16 − x2)

A: Given:y=x2 16-x2Product of differentiation  formula:ddxuv=uv'+vu'

Q: For function, find (a) the equation of the secant line through the points where x has the given…

A: Given f(x)=x2+x, x=3, x=6

Q: f(x) = (x + 2)(2x² – 3) %3D

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Q: From now on consider the function f(x, y) = e$n(x) y.

A: direction of fastest increase is along the gradient vector  Given f(x,y)=esinx y

Q: Given f(x) = 5x² + 5x + 2, find f' (x) using the definition of a derivative.

A: Given function is solved through derivative  detailed solution is given below

Q: Find f'(x) using the rules for finding derivatives 4x2 - 7x +6 f(x) = 2x + 1

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Q: Find f (x) using the rules for finding derivatives 4x f(x) = -7x+ 1 %3D 3x +2 f'(x) =

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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 derivative () of = f(x) = 2

A: Please refer to the image below

Q: Find the derivative. f(x)x (2x+1)

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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: Find the derivative of the function. f(x) =  x3 − 4 x2 + 2

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Q: 3. f(x)=(3x' +2):

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Q: Find the first and second derivatives of the following functions and use them to sketch a graph. f…

A: Please refer to the image below

Q: Find the first and second derivatives of the function.  f(x) = (x2 + 4)5

A: Rule used:The derivative rules are shown below.

Q: The elevation of a path is given by f(x) = x^3 - 5x^2 + 30, measured in feet, where x measures…

A: The elevation as a function of path is given below.

Q: Find the inflection point(s) of the function f(x) = 3e¬x. %3D (х, у) %3D (smaller x-value) (х, у)…

A: Given,  f(x)=3e-x2

Q: Rewrite the function g(x) = ((x^2)-1)/((x^2)+2) so that you can solve for the derivative using the…

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Q: find the first and second derivatives of the function f(x) = (x2 + 4)5

A: The given function is f(x)=x2+45.

Q: Find the derivative of the function. F(x) = (xª + 7x² – 3)4

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Q: 3x2 – x +1 - Find the derivative f'(x) by hand when f(x) %3D 2x + 7

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Q: Find the derivative of the function f(x) = (2+8)2 8a2+15

A: To find: The derivative of the given function f(x).

Q: For f(x): 1 -x² + x + 2, find: a) the equation of the line that is tangent to the graph of f at the…

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Q: Find the indicated derivative. f (x) = (x³ – 5x + 2)(x² + x – 7); find f"(x). %3D

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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

Q: Given the equation 3x + 2xy -y = 0, evaluate Assume that the equation implicitly defines y as a…

A: We have to find the derivative dydx of the given function.     According to our guidelines, we can…