Which formula shows the basic concept of substitution method on integral Manakah yang merupakan konsep integral dengan teknik substitusi ? SF(g(x))g'(x)dx = S f(u)d 1. O SF(g(x))f'(x)dx = [ f(x)d Sf (x)d 2. O Sf(g'(x))g'(x)dx = [f(x)a 3. О C c(

Q: Use the table below to compute h'(-1) for h(x) = f(x) g(). (E) (), (1)6 () 1/2 -2 2 1 -3 1 2 1 4. -1…

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Q: What is the total change of f(x) if f'(x)= sin(x) from [0, πT ]?

A: For a given f'(x)=f(x) where f'(x) is the antiderivative of the f(x) and in the interval x=a to x=b.

Q: 4. Find (f-1)'(1) if f(x)=x' +8x+sin(3.x) а. Find (f-1)'(2) if f(x)= Vx' +x +xr+1 b.

A: To find the derivative of the inverse of a function

Q: If f(x) x = √₁² (2²³ + Sº (t³ + 5t² + 2), dt then ƒ''(x) = =

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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: Let f(x) = (x³ +2x+4)* ƒ'(x) = = ƒ'(1) =

A: The function is f(x)=(x3+2x+4)4the aim is to find the derivative then the derivative of the function…

Q: 3 X 1 2 3 4 5 f'(x) 5 12 4 3 g'(x) 3 245 1 [3f(x) - 4x] x=3 =(Type an integer or a decimal.) www

A: We will find the required.

Q: Let h(x)=f(x)/g(x). If f(x)=−cos(x) and g(x)=4x^2+2x−3, what is h′(x)?

A: Given,          hx=fxgx. And fx=-cosx  and  gx=4x2+2x-3.

Q: The function f(x)=(x)/(x-1) is discontinous at x=1 because

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Q: dx x(1+ln² x)

A: Given : ∫dx/x(1 + ln2x)      .....(1) Let ln x = t Differentiating both side w.r.t. x 1/x = dt/dx dt…

Q: Find the function such that f'(x)  = f(x) (1- f(x)) and  f(0)  = 1/2

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Q: Let f(x) = ln(x² + 2x + 6) f'(x) =

A: We have to find the derivative.

Q: Find the domain of the function g(x) = /1 – x ln x

A: We have to find domain

Q: H (x) = VI-Soe? 2. %3D (f09) (><)= H (sc) %3D %3D 9(36) =

A: Given fgx=1-5x2

Q: -1 Ax) = 7xsin (x) f'(x) =

A: SOLUTION-

Q: Find dy/dx if f(x) = csc (x³ + x + 1)

A: Derivative of the function

Q: f(x) 132. Let h (x) = g(x) Find a. h' (1), b. h' (3) , and с. h' (4).

A: Given

Q: Find f'(x) of f(x) = 3π√123

A: given: fx=3π123 we have to find f'(x)

Q: Choose True if the statement is correct, otherwise False. If f(x)dx is to be integrated and u =…

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Q: What is r' (x) when r(x) = In (x³ + 2x2 + 3x +1)? Select the correct answer below: In (3z2 + 4z + 3)…

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Q: Take first and second derivatives of y = xr, y=(ax2 + bx + c)2, y=ecx, y=e-cx, y=ln(x).  In all…

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Q: a) Let f(x) = √5 + 132³. Find f'(x). f'(2) - O b) Let f(z) J'(x) = 0 evS+13³ Find f'(z). -e'

A:

Q: S(x) 르 arcsin (금x + 1) -3 Let f '(x) = . a Find f' (x) giving your answer in the form TV (bx(x + c)…

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Q: Find f such that f'(x) = f(x) = 9 √√x 1 f(4) = 48.

A: Integrate both side given function

Q: True or False if f'(x) = i +t2j and f(0) = j - k then  f(x) = ti + (t3/3+1)j

A: