For each of the following problems differentiate the given funct h(w) = w² – 3sinh (w) g(x) = cos(x) + cosh (x) H(t) = 3 csch(t) + 7sinht %3|

Q: 1 1 suppose / f (x) dæ = –2 and / g (x) dæ = 1. What is the 1 value of / (f (x) + 3g (x) – 2) dæ?

A: Given : ∫01fxdx = -2∫01gxdx = 1

Q: If f(x) = (x² – 9) (3x – 3), find the following a. f( – 1) = = 48 b. f'( – 1) = 0

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Q: 17. Given the functions f(x) = sinx and g(x) = -x² + 4, determine the domain of the combined…

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Q: Q No. 2 Discuss the differentiability of ƒ(x) = (x – 3)' at x = 3 by using definition and…

A: the given function is: f(x)=x-323 we have to discuss the differentiability of the given function at…

Q: ind the derivative of the following functions in its simplest form. Show all of your work. Use the…

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Q: The function f (x) = 4 a - x has a horizontal tangent to its graph when x-1/16 O x-1/2 O x =4 Ox-2…

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Q: 1. (i) Verify that ²f/Əxây 2f/ Əyəx for the following functions. (a) f(x,y)= 3x2+ y3 – 3xy (b)…

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Q: The second derivative for the following function at x = 2 f(x) = V2x + is O 1 O 1/4 O 1/2 3/4

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Q: 1. If f(x) = x/(x − 1) and g(x) = 3/(x² − 1). Find the value of x for which (f + g)(x) = 1

A: Solving the problem

Q: 3. Find the implied domain for the following functions: (a) f(x) = Vx² – x – 6. %3D log, (x – 2) |…

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Q: If f(x) = 8x + e5x, use the formula (f¯¹)'(x) = (f¹) '(1) = [ 1 f'(F-¹(x)) - to find (f-¹) '(1).

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Q: Suppose that f(x) and g(x) are two functions and we know that: f(– 2) = 3 g( – 2) = 5 f'(– 2) = – 1…

A: We have to find

Q: 10 Find f(x) dx if f(x) = [8 for x< 8 |x for x 2 8

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Q: f (x) = -x³ + 5x+9 has an inverse g(x) where g(5) = –1. Compute g'(5) %3D

A: f-1'(a)=1f'f-1(a)

Q: For what values of a and b does the graph of f(x) = a(x + b In(x)) have a local maximum at the point…

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Q: 2. Use chain rule to find the derivative of the following functions (Hint: for function composed…

A: NOTE: Refresh your page if you can't see any equations. . Since you have asked multiple questions,…

Q: Decompose the following functions (write them as compositions): (a) If h(x) = V13² + 3, what are two…

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Q: Find the Green's function G(t,t') for each of the following problems. A. * + 9x + 20x = k(t), x(0) =…

A: Given: (A.) x..+9x.+20x=kt,  x.0=x0=0 (B.) x..+4x.+4x=kt,  x.0=x0=0   To find: The Green's function…

Q: For each of the following functions, indicate at which point(s) the function is discontinuous and…

A: The Given FunctionsDefinition 4.3 of Continuity: A function f is continuous at a point x = a if and…

Q: Suppose g, and h are functions satisfying 7 7 Sh ľ h(x) dx = 1, and g(x) dx - [² (3g(x) + h(x)) dx =…

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