If fx) = x'(x – 2) then f"(1) equals" A -1e C 2 D -2 E

Q: If y = a³ + e*, find y(4) when a = 0

A: Given: y=x3+ex   As we know that; The sum/difference rule: f±g'=f'±g' The Power law: ddxxn=nxn-1 And…

Q: Let z = cos(xy) + ycos(x), where x=s^2+t and y=s-t^2 . Find the partial derivatives (derivative…

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Q: If f(x,y)=xe/2+118x?y, then asf at (1,1) is equal to əx²əy³

A: Given function is: f(x,y)=xey22+118x2y3 Derivative of function with respect to 'x'…

Q: If f(t) = (t + 7t + 3) (5t² + 6), find ƒ'(t). Find f'(5).

A: Given : ft = t2 + 7t + 35t2 + 6

Q: 2 f(x) = 3x4 10

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Q: 2. Determine f'(1) for the function f(x) = (8x – 6Vx5 + 3) (x² – 9x² +) -

A: A detailed solution is given below

Q: If f(t) = 9t+1, find f"(5). %3D

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Q: x () - (-). y (1) J

A: Givenf(t)=sect   We are required to find f''π4

Q: If f(x)=V x + Vx , find the value of f(1) (a) 3/2 (b) 8. (c) 4 (d) 1 (e)

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Q: Let h(x)=√xf(x). If we know that f'(7) = 6ƒ(7), find a value for f(7) such that h'(7) = 4 (a) f(7):…

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Q: Find the approximate integral of the following function using Simpson's 3/8 rule and determine the…

A: Given: fx=ex2, x=0, 4, E=0.0002 To find: n To find: Approximate integral.

Q: 8 6. * f(x) = 7 + + find f'(x). - x2 Find f'(2). | 8

A: To find the derivative we use power rule of derivative formula. Power rule of derivative is…

Q: Consider the function f (x) = 25 + 3x² – 7x + 2+4. What is f' (2) ?

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Q: If f(t) = (t + 5t + 4) (2t² + 2), find f'(t). Find f'(3).

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Q: If f(t) = (t² + 6t + 7) (7t² + 4), find ƒ'(t). Find f'(2).

A: INTRODUCTION A function's differentiation can be used to display the rate of change of a function at…

Q: If f(x) = 20x + 23, find ƒ'(−9).

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Q: F = If SF · dr = (5x − 3y²) dx + (x³y) dy, what is F?

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Q: If f(x) (1)? = 2 x² + 3x x+1 " then what is

A: Given: f(x)=x2+3xx+1

Q: If f(x, y) = (5x- y²) (a) f(1,4) find the following.

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Q: Find f ′(a) f(t) = t^5 - 3t

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Q: If f(x) = 18z + 9, find f'( – 1).

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Q: f(a)=9 I'(a)= 5 = -4 $()= 5 • If glx)=1F[=), find gʻ(2) -1f hlx)=f(casx), find hi(M%)

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Q: f (x) = x5, x = 1/2

A: The function is given as fx=x5

Q: If f (x) = 3x²-2 4x+1 then f'(-1) =

A: Given

Q: goo3D 4X Sxt7

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Q: For f(x) = x? – 2x – 1, find f(2), f'(2), and f(3) – f(2). - a. f(2) = -1 b. f'(2) = c. f(3) – f(2)

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Q: Sketch the following functions. Show all your work. N a) Domain b) Intercepts c) Symmetry d)…

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Q: Let x € Z. Prove that if x² - 8x + 11 is divisible by 4, the x6- 1 is also divisible by 4.

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Q: For f(z) = 2es'the value oflog(f(z)) is

A: Given that fz=2eπ8i We have to find the value of logfz

Q: f"(2) 1. Find

A: Given f(x)=43x2-23x+1f'(x)=-23*ddx(x)+43*ddx1x2+ddx(1)        =-2*13+4(-2)x-33+0

Q: 7 f(x) = 2x' + х— 2 + f'(x) = 2.

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Q: If f(t) = (t + 3t + 6) (4t² + 3), find f (t). Find f'(3).

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Q: 1-6 A function f is given on the interval [-7, 7] and ƒ is periodic with period 27. (a) Find the…

A: The Fourier series of a function fx over the interval -π,π with a period of 2π is…

Q: Given that f "(x)=-2+12x-12x2, f(0)= 4, and f '(0)=12. Find f(x)-

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Q: f"(x) = 7x – 2 - and f'(-3) = –6 and f(-3) -2. Find f'(x) = and find f(4) =

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