Find f'(x) and simplify. f(x) = x5 Inx ○ A. (x5) (3) - (Inx) (5x) ○ B. (1) (5x4) ○ c. (x5) (5x4) + (In x) (x³) (3) • O D. (x5) f'(x) = ›{}) +(In x) (5x4)

Q: f(x)=(x-2)^2,[2,infinity)   Find the inverse

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Q: Let f(x) = 2x√x + f'(x) = x³√x

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Q: Find h(x) if h'(x): h(x) = = 9x (3-x²)² and h(1) = -3.

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Q: Find f'(x) and simplify. f(x) = 2x³ Inx Which of the following shows the correct application of the…

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Q: Find f'(x) and simplify. f(x) = 5x4 Inx

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Q: Find(f ^−1)'(a).f(x) = 4x^3 + 4x^2 + 7x + 2, a = 2(f ^−1)'(a) =

A: Here a function f(x) is given and value of a is given we need to find the derivative of inverse of…

Q: Find (f ¹)'(a). (F-¹)(a) = f(x) = 4x³ + 3x² + 5x + 9, - 3x² + 5x+9, a=9

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Q: Find f '(x) and f "(x). x2 7 + 4x f(x) =

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Q: Find f-1(x) f(x)=(ex+1)/(2-ex)

A: To find the inverse of the given function

Q: Find f'(x) and simplify. x²+2 7x-8 f(x) = Which of the following shows the correct application of…

A: I have explained everything with in the solution. Please go through that.

Q: Given f(x)= x - x^2 and g(x)= 4x-2 Simplify f(g(x))

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Q: Find (f-1 )'(7)without finding the inverse function where f(x) = 5 − 2x3

A: Given function : fx=5-2x3. Let us consider y=5-2x3,  Replace x by y and y by , we get: ⇒ x=5-2y3…

Q: Find f''(x) for the function. In x 8x f(x) = O A. O B. O C. O D. -7-2 Inx 9x3 - 3+2 Inx 8x3 In x 8x³…

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Q: Simplify ((5)/(x^2-1))/((2)/(x-1))-((3)/(x+1))

A: Given, To Simplify ((5)/(x^2-1))/((2)/(x-1))-((3)/(x+1))

Q: If f(x)=x^2 −1,g(x)=2x−3, find the following new functions, as well as any values indicated A)…

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Q: If f(x)=x^2 −1,and h(x)=1−4x, find the following new functions,as well as any values indicated. A)…

A: Given function  f(x) = x2 - 1  and h(x) 1 - 4x Then A) (f + h)(x) = ? B) (f + h)(0) = ?

Q: If 82+5f(x)+x^2(f(x))^3=0 and f(3)=-2, find f’(3)

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Q: If f(x) = -2x^3 + 5x^2 - 3x - 3,  Find an expression for the second derivative f"(x).  f"(x) =

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Q: y = -2x³ 4x* + 2x3 5x + 15, find y'"' - -

A: Given: y=-2x5-4x4+2x3-5x+15

Q: f(x) = (6x2-4)7(-3x2+3)13 f'(x)=

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Q: Find f'(x) in two ways: (1) using the product rule and (2) simplifying first. f(x)=x²(x²-5) Which of…

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Q: Find the second derivative of the function. 1x)-(3x²³ +7) Op 63x (7 + 3x) 5 (14+63x³) = f" - 63x (7+…

A: given function is f(x)=(3x3+7)7

Q: Find f'(x) and simplify. f(x)=6x5(x-9)

A: Answer is f'(x) =54x⁴(x⁴ - 5)Explanation:Step 1: Step 2: Step 3: Step 4: Thanks 🙏

Q: Find inverse function of (a) y = - x^2 (b) y = 3 - 2x

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Q: Find f'(x) and simplify. f(x) = (0.2x + 2)(0.6x - 9) Which of the following shows the correct…

A: f(x)= (0.2x+2)(0.6x-9)

Q: Find f''(x) for the function. f(x) = 8x³ - 2x² +4 OA. 32x-4 B. 4x-32 C. 48x-4 OD. 4x-48

A: Givenf(x) = 8x³ - 2x² + 4

Q: Find f'(x) and simplify. f(x)=2x5 (x²-3)

A: Given: We have to find  and simplify.

Q: Find y''. 3 y=(√x - 5)-³ 3 12 -5 +5) (√x - 5)-5 4x O A. 3 OB. -2(√x-5)-4 OC. 6(√x-5)-5 O D. 3 - 2…

A: Given function:- y=x-5-3