Suppose we want to integrate by parts the integral -sin(2x)dx. Which function should we choose as u(x) and which as v'(x) ? O u(æ)=a; v'(x)= sin(2x). O u(x)=sin(2x) : v'(x)=x. O u(a)=x-sin(2a); v'(a)=1. O u(x)=1: v'(x)=x-sin(2x). O u(x)=sin(x) ; v'(x)=2x.

Q: Show that is C is a function of x with derivative C'=C/x and N=C/x, the d/dx (C/x)=(C'-B)/x

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Q: 9. Find f' (x) for the function f (x) = sin? (cos(4x)) 10. Find f'(x) for the following functions:…

A: Given:          f(x) =sin2cos4x first derivative        ddxfx =f'x      f'x=ddxsin2cos4x    Applying…

Q: Consider the function f(x) whose second derivative is f''(x) = 3x +4 sin(a %3D If f(0) = 3 and f'(0)…

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Q: 2. Find f'(x): A. f(x)= 3x²+4 2x²-5

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Q: 3. Find f(x) if f'(x) = sec²x - sinx and f(TT/4) = 1. %3D %3D

A: Given: f'(x) = sec2x -sinx  To find: The value of f(x)  and  fπ4.

Q: Find f'(z) of f(z) = 3πi.

A: Compare the given function f(z) = 3πi. with f(z)=u(x,y)+i v(x,y) So,  u(x,y) =0 and v(x,y) = 3π

Q: Find f if f'(x) = sin x + cos x, f'(0) = 7, and f(0) = 7. Answer: f (x) =

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Q: If f(x) = 5x(sin x + cos x), what is f'(x)?

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Q: For f(x) = ln |sin x |. Find f’ (3pie/4)

A: Given, f(x) = ln |sin x |

Q: 3. If f(x) = sinx ex find f'(0).

A: fx=sinxex

Q: Find the first derivative of the function g(x) = V5 +x +4cos (2x).

A: The function f(x) is a rule that associates or fixes a number to the particular point x. If y=f(x),…

Q: Find f'(x) and f'(c). Function f'(x)= f'(c) = f(x) sin x x Value of c π 3

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Q: 3. Suppose that f'(x)= sin(x) + tx² and that f(T) = 0. Find f(x).

A: Given f'(x)=sin(x)+1/√x+ x2 and f(π)=0

Q: B. Find f(x) if f

A: Solution of the problem as follows

Q: If f(x) = 5 sin(x) + 3 9x4-3 ƒ'(x) = then:

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Q: - Differentiate the function (find F'(x)) if F(x) = sin(t² + 1) dt

A: Apply Leibnize's. Rule

Q: a) If f (x) = 12x, find f' (27). %3D

A: Solve the function

Q: If f(x) = 2 sin(x) + In(4x), find f '(x). f'(x) =

A: Given f(x)=2 sin(x)+ln(x) We know that d/dx(sin(x))=Cos(x) d/dx(ln(x))=1/x d/dx(xn)=nxn-1

Q: If f(x) = cos x, then f'() = A. B. - C. - C. D. √3

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Q: Let f(x) = sin(4g(x)). Evaluate f'(x).

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Q: Find y\\ for each of the following functions: 1- f(x)=sin(xe). 2- f(y) = sin (3y)+ e-2y + In (7y)

A: d(u v) = u dv +v du

Q: Given f''(x) = ƒ(5) Find f = S 9 sin (3x) and f'(0) - 4 and f(0) = 1.

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