What does is mean for two functions f(x) and g(x) to be orthogonal

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: Let f(x) = x2 – 2.x. Use the definition of the derivative to calculate f'(3) %3D -

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Q: Find the derivative of the function f(x) = -8x² – 18x + 23 by definition of derivatives f(x + h) –…

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Q: Find the derivative of the function using the power rule. (a) f(x) = 3/5x5 − 4x −4/3x-3 (b) f(x) =…

A: a) f(x)=35x5-4x-43x-3 f'(x)=ddx35x5-4x-43x-3       =35ddx1x5-4ddxx-43ddx1x-3…

Q: Find the derivative of the function. f (x) = = 4 %3D 12 - 12 - x2 0 4

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Q: The derivative of f(x) 4 (x2 + 3x) is O -4x3 (2x + 3) -4x 2(2x + 3) 4 O 4a-2(2x + 3) 4.x + 12

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Q: 5. Use the definition of derivative to find derivative of ƒ(x) = (D + 2)x –- (C + 2)x². D=7 F=7 C=2

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Q: 1. Find the derivative of f(x). 3x³ 2x²-x-5 - (a) f(x) = √x (b) f(x) =

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Q: Find the first and second derivatives of the functio f(x) = x(x² + 4)2 %3D f'(x) = %3D f" (x) = %3D

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Q: Find the derivative of f(x) = x2√(1 − x2)

A: Given:

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

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Q: Find the derivative of the algebraic functie c3 – x³ c3 + x3 c is a constant. f(x) %3D 6r3 3 (3 +x³)…

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Q: Find the first and second derivatives of the function  f(x)  = x4  - 3 x3  +16 x

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

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Q: Find the derivative of the function. g(x) = (2 + (x² + 7)*)3 ow) - 24(3)(2² + 7)*(2 + (x + 7)*)² ×…

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Q: Find the derivative of the function. g (x) = 6x-3 + 2x Og (x) = 18x + 10x-6 %3D Og (x) = -18x-3…

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Q: Find the derivative of the function. r (x) = 3x 20.6 8. -8 - 6. 6x1.6 2]

A: The derivative of a polynomial function with degree n:

Q: Find the derivative of the function. g(x) = [2 + (x² + 1)41³ g'(x) = 2 + (x8+ 4x6 + 6x² + 4x²+3)3

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Q: Find the first and second derivatives of the function. f(x) = √3x-7     f '(x)=   f ''(x)=

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Q: Use the Chain Rule to find the derivative. f(x) = (x5 – x3 – 1)2/5 %3D

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Q: Apply the definition of the derivative of a function to find f'(x). a. f(x) = 6x + 4 b. f(x) = x2 -…

A: To find the derivative of the function using the definition of the derivative. (a). Given function…

Q: b. f(x) = 3v2x %3D

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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 second derivative of the function  f(x)=[3x3 +7]7

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Q: Let f(x) = }x² – x³. Find the value(s) of x if the second derivative f" (x) equals zero.

A: Use the formula, ddx(xn)=nxn-1 to calculate the derivative. Differentiate f(x) with respect to x to…

Q: Find the derivative of the function using the product rule. (a) f(x) = (x3 − 2)(6x − 5) (b) f(x) =…

A: First I have written the product rule of derivative and then using it and find the required…

Q: The derivative of the function f (x) = (x-1 – 2)(3 – Vx ) is, %3D 2x2 – x – 6/x A. fi(x) %3D 2x2+…

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Q: Find the derivative of the function. g(x) = x" + 4x° – 5x-9 gʻ(x) = D %3D

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Q: Find the first and second derivatives of the function. f(x) = 11x1 + 6x - x %3D f"(x) = f"(x) =

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Q: Find the derivative for f (x) = V4 + e2x a. e2x /4+ e2x b. 1 2v2e2x xe2x-1 /4+ e2x C.

A: To find the derivative of fx=4+e2x.

Q: Calculate the derivative of the function. g(x) = (x² – 3x – 1)-7 %3D g'(x) =

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Q: f(x)=5e^−2x^3+8x^8 f'(x)=

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Q: Find the derivative of the function. F(x) = (4x + 4)3 (x² – 5x + 4)4 %3D F'(x) = %3D

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Q: Find the derivative of the algebraic function. f(x) = (x3 − x)(x2 + 2)(x2 + x − 1)

A: Given information: fx=x3-xx2+2x2+x-1

Q: The derivative of f(x) = (2x - 1)/(x2 + 1) is (-2x² + 2x + 2)/(x4 + 2x² + 1) Select the correct…

A: Derivative of the function

Q: 1. Use the definition of derivative to find the derivative of (a) f(x) = (x + 1)² 1 (b) f(x) =…

A: The solution are next step

Q: Find the first and second derivative 1. f(x) =x+6x-7x 2. f()=r-7 +2r 3. F(1)=(1+ 7r)

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Q: Find the first and second derivatives of the function. g(x) = -4x3 + 11x2 + 6x - 51 g'(x) g"(x)

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Q: For k(x)=(−3x2+2x−3)(x−2)(−x+3), find the derivative of k(x) using the product rule.

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Q: Calculate the derivative of the function. g(x) = (x2 − 5x − 1)−9

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Q: The derivative ofthe function f(x) = (5x³ – 2x² + 3x – 1)³ Is 3(5x² – 2x² + 3x – 1)°(15x² – 4x + 3).…

A: We have given  function fx=5x3-2x2+3x-13 Then, f'x=35x3-2x2+3x-1215x2-4x+3

Q: For k(x)=(3x+2)(−x+2)(−3x2+x+1), find the derivative of k(x) using the product rule.

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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 range of function f(x): b) f(x)= (2 – x)V 4x – x²,xE (0, 4) -

A: b)   f(x)=(2-x)4x-x2 , x∈(0,4)         plot the function on the graph

Q: x² +5x +6 f(x) = x² - 4

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Q: The derivative of the function f(x) = 18 is 1 5x 18 5x + 18 18 5x4 + (x) 18 5x4 (교2) 18 5x4 + (23)

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Q: Find the derivative of the function using Chain Rule. f(x) = (2x-5) ¹ (4x+3) Given -2(12x-17) Answer…

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Q: 3 f(x) = (x³ – 8)4 f'(x) :

A: Use Chain Rule with other some basic identities.

Q: What is the derivative of the attached function for x= -8   -1 -1/2 1 2

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