6. Consider the function f(x) with f(x)dx = 5 and Jo (a) Evaluate [² 2f(x) dx (b) Evaluate ff(2t)dt 7. If J(x) = sin(x) -2x et 1+ e2t dt, find J'(0)

Q: Suppose f(x) and f'(x) have the values shown. X 0 1 2 3 f(x) 10 8 9 7 f'(x) 7 8 6 4 5 4 3 لا Let y³…

A:

Q: Consider the function f (x) = 6x² + 4x + 2. Find F(x) so that F' (x) = f(x). %3|

A: f(x)=6x2+4x+2To find: F(x) such that F'(x)=f(x)

Q: 8. Find f'(x) for the function f (x) = (5x² + 3)4

A: ddxfxn=nfxn-1f'x

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

A:

Q: Let c =3 If f (x) : Cind f! (0

A: The function given is fx=x2-cx+1 The value of c given is 3. Substitute the value of c in the given…

Q: Consider the following. 1- 2x y = x4 - 2x2 + 4 Let u(x) = 1 - 2x? and v(x) = x* - 2x + 4. Find each…

A: Given: y=1-2x2x4-2x2+4u(x)=1-2x2v(x)=x4-2x2+4 We have to find…

Q: The derivative of f(x) = 5x – Vx + (sin)x – e² -

A: Given; f(x)=5x4-x1/3+[sin(π/2)]x-e2

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

A:

Q: Let f (x) = 2x4 + 2x3 + 2x2 + 5x + 2. Fill in the missing coefficients for the derivative of f: x* +…

A: Given that :-  f is function of x f(x) = 2x⁴ + 2x³ + 2x² + 5x + 2 * We have to find  f '(x)   For…

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

A: fx=sinxex

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: Find F (x). F(x) = sin e de Jo F '(x) =

A: Given Integral: Fx=∫0x3sinθ3dθ It is required to determine the derivative of the functionF'x. The…

Q: Asap plz

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Q: Let f(x)= X cos (x). compute f'(2)

A: The answer is given below

Q: A 2xe ²x² B Xex² Ⓒ2e+² D 2xex² Let f(x)= ex², find f'(x)

A: given  f(x)=ex2d dx(ex)=exd dx(xn)=nxn-1

Q: B. Find f(x) if f

A: Solution of the problem as follows

Q: 2) a) Let f(x) = 2* + 3x7. Find f'(x) and f" (x). b) Find the derivative f'(x) in the following…

A: a.)   Given f(x) = 2x + 3x-1/2 f'(x) , f''(x) are to be calculated. Formulas used here  ** y = ax…

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

A: Apply Leibnize's. Rule

Q: Find f if f"(x) = 0, f(0) = 2, f'(0) = 1

A:

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

A:

Q: Suppose F(8) = 5, F(9)= -23, and - 9 f6f (x) d Your Answer: Answer dx= F'(x) = f(x).

A:

Q: Differentiate the functions. a) f(x) = 2 – 3x + b) f(x) %3D Зе* + sinx c) f(x) = 3x

A: As per guidelines, we will solve only first three subparts. Kindly repost other subparts separately.

Q: 1. Find f(x) if f'(x) = x/x and f(1) = 2

A: Given that: f'(x)=xx and f(1)=2

Q: x) such that f"(x)=2r' +3x-4

A: Integration: f''(x)=2x3+3x2-4x+5; f0=2, f1=0 ∫xndx=xn+1n+1+c

Q: Use the rule for recipocals : f '(x) f?(x) d 1 dx [ f(x) to find the following derivatives…

A: Given: Reciprocal Rule: ddx1f(x)=−f'(x)f2(x) Find: 1)  ddx1x2+2x+1=?2)  ddx1sinx+ex=?3)  ddxπx+1=?

Q: If f(x)- Vu² - 1 du, then what is f'(3)?

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: 8. Consider the function f(x) =6x5(x6+10)4 (a) Define u(x) = x6 + 10. Then calculate: u'(x) = (b)…

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Q: Given f (x) = x³ - 3x – 1,x 2 2, find (f~')'(-1)

A:

Q: 8. Find f'(x) if f(x) = tan(x) sin(cos(t))dt

A: