Suppose that f( – 4) = 4 and that f'(x) = 4 for all x. Must f(x) = 4 for all x?

Q: Let f(x)=x^2−8x+5 with domain 0<x<4 Calculate (f^−1)′(−2)

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Q: Analyze the critical points of f (x) = (2x − x2)ex .

A: fx=2x-x2ex Differentiating with respect to x, we get…

Q: of f(x, y, tion of ve

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Q: 4 Determine if f (x) = - 2x if x 1 is differentiable at a = 1.

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Q: Find (f - g)(x) if f(2) = 7x³ – 52² + 42x – 30 and g(z) = 7 O (f · g)(x) = 49zª + 269x² + 150 O (f·…

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Q: 1. Find the derivative of f(x) if f(x) = x7 + 10x5 – x² – 4

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

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Q: Find the derivative of: f(x) = 5x^2 / x+47   5x^2 - 470 / (x+47)^2 3x^2 + 470 / (x+47)^2 5x^2 +470…

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

Q: Find the derivative of f(x) = 33x-1 O 33x-2 In3 O 33x-1 In3 33x In3 32x In3

A: (1). Given: fx=33x-1   As we know that; The Power law; ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x And…

Q: of n'(x)= 2x-1/x2-x

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Q: g(x)= 4-3x 3x² + x

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Q: Use the Second Derivative Test to find the Maximum and Minimum value(s) of the function 3 f(x) x* -…

A: We have the given function as fx=32x2-4x+lnx For maxima/minima, we need to calculate f'x as…

Q: Find the derivative of the function. f(x) = In(x + V2 + x²) f '(x) =

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Q: Compute the second derivative with respect to x of 3x3 + 8 y = at x = 1.

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Q: What is the first derivative of f(x) = ]n( 3x´+7x 5x

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Q: 1 Differentiate f(x) = log, x from the first principle. Note: f'(x) = x In a

A: q- differentiate the function fx=logax from the first principle it is known that, according to first…

Q: 3) Find the derivative f(x) = xe-*In(x³) %3D

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

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Q: if f(x) = %79.1 x²√In x² x -. find the derivative of this function f'(x) A. f'(x) = - 1 3:16 1-In x²…

A: The given function is; f(x)=x2 sqrt(ln x2)/x.

Q: Find the derivative of f(x) = V9x8 + 9x (72z + 9)-1/2 (92 + 9x) 1/2(72x + 9) O (928 + 9x)-1/2 -(928…

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Q: Find the derivative of f(x) = 6* – 3* + In x -

A: Differentiate: fx=6x-3x+lnx

Q: .3 Find the derivative of h(x) =In x³ + 2 x5 – et -

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

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Q: 1. Find the second derivative of f(x) = x5 – 4x + 1. а. 5x3—4 ь. 20х3 с. -20х3— 4

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Q: Find f'(1) for f(x) = In(v6x – 3).

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Q: Suppose 8 (x) =Vx+1,What is the correct result of the second derivative of g with respect to x? %3D…

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: Find the second derivative or f"(x) for f(x) = / 2x + 5. %3D 1 (2x + 5)3/2 (2x + 5)!/2 (2x + 5)3/2…

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Q: Compute the Indicated derivative. 7. f" (x) for f(x) = 5x2-14x + %3D

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Q: 2. Find the derivative of A(x) = L% V1– x³dx

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Q: find the critical points and apply the Second Derivative Test (or state that it fails). f(x) = x^2 −…

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

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Q: The 7th derivative of ƒ(x) = 3ñx³ – 12x4 + 7x³ − 11x² + √5 with respect to a is

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Q: Find the derivative of the function. g(x) = In(x – 5.1x=1) g'(x) =

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Q: Find the derivative. 4 20) f(x) = 4 2 ,find f'(x) + 4 10 2 B) - x3/2 x2 x4 4 10 A) x1/2 x2 x6 4 10 4…

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Q: Compute the derivative of f(1) = In(x In(x² In(r³))).

A: The given function f(x)=lnx lnx2 lnx3

Q: Need help with my Homework Asking for first derivative. Answer choices attached

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Q: Find the derivative of f(x) = 4Vx + +4. O 4 + In(x) 4 x3 O 2 2 .2 O 2-4 O 2/x 4x-2 | 2

A: Given function is fx=4x+2x. We have to find the derivative of fx=4x+2x. Differentiate fx=4x+2x with…

Q: 4. If f(x) = sin x, show that f(2.x) = 2f(x)f(-x) %3D

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Q: Find the derivative of the function.

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Q: Find the critical points of the following function. f(x) = 3x² + 5x - 1 What is the derivative of…

A: The given function is: fx=3x2+5x-1 To find the critical points of this function, equate its…

Q: Find the derivative of f(x)= 11x^2 at x=1

A: Given:    f(x) = 11 x2  at x = 1

Q: Find the first derivative given that f(x) 5x V2r+3

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Q: Let f(x)=1x−2 ; for what values of x , f(x) will be discontinuous?

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Q: 5. Find derivative of the following composite function using the Chain Rule: f(x) = 3x2 + 8x, x(t) =…

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Q: Find the derivative of y with respect to x. y = In(x - 4) 4 -x X-4 x+4

A: The given function is  y= ln(x-4)  We have to find the derivative of y w.r.t. x

Q: Prove that f(x) = x-¹/2 is: (i) not sectionally continuous in every finite interval in the range x ≥…

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Q: .4 In(12x + x), the derivative Given g(x) = g (x) is 12x4 + x 48x3 + 1 48x +1 12x4 + x 4x3 48x³ + 1

A: Given,  gx = ln12x4+x  We have to find the derivative g'x .

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: If f(x)=e^cosh(4x) then f'(x)=

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.