From the definition (Equation 4.46), construct »¡ (x) and n2(x). 1 d je(x) = (-x)' 1 d ; ne(x) = - (–x)' r dx sin x cOs x x dx (4.46)

Q: Let f(x) = 9 cos(sin(z°)). %3D Then f'(x),

A: Using the chain rule of differentiation,

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A: Using L'Hospital's rule to evaluate this limit,we know that,if  is of the intermediate form or…

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A: SOLUTION-

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A: dsin-1xdx = 11-x2 dxndx=n.xn-1

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Q: Can someone compute this into decimal form. f'(4)=-sin(4)-3sec²(4) Thank you

A: we already have f'(x)=-sinx-3sec²x so,f'(4) =-sin(4) -3sec2(4)

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A: with the help of integration  properties we will evaluate the above function detailed solution is…

Q: If f(x) = cos-(r"), then f'(x) = (A) (B) (C) (D) (E) -32? sin-(æ³) (A) O (B) o (c) O (D) (E)

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A: To find f’(x).

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A: Given data:     The given expression for the integral of the function is: .   The expression for the…

Q: Given that f'(x) = cos(x), ƒ'(π/2) = 6 and f(7/2) = 14 find: f'(x) = f(x) =

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Q: Q1) Evaluate: (a) fe²_1_dx Inx sin ¹x 1-x² dx (b) f 1- cos dx (e) Jỗ 2sinx cosx dx (c) | Inx dx

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Q: f(x) = 2 sin X;f'(-3)

A: The given function is fx=2sin x. Differentiate the given function with respect to x. f'x=ddx2sin…

Q: b) if J(zf64)} - 39ga) ) ce = Sin () %3D and S(3f (x)+9 6)) dx = tan () 2. 2. +596)) dx

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Q: Given f'"(1) = – 4 sin(2x) and f'(0) = 2 and f(0) = 1. Find fG): sin(7 + 1)

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Q: =4 and f = 12 and let g(x)=f(x)cosx. Find g 6.

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Q: Q3 A) Sketch the function y=sech' x , then write the properties of this function. 30 B) Evaluate Two…

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Q: Given f''(x) = - 25 sin(5x) and f'(0) = 2 and f(0) = -6. Find f() =

A: In this question, we want to compute the value of f at the given point.

Q: d dx x= ||

A: Given that

Q: 1) For each of the following functions, f(x), find f'(0). (a) f(x)= –30x² + 3x (b) f(x) = x²e"…

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