F(x) = F'(x)= = 2x 1,²² t² t² + 1 dt

Q: Find f'(a). f)t( 1 t² +4

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Q: Find f. 4 3 f '(x) Vx 45e sec2 f(0) 11 х, = f(x)

A: To find the function f.

Q: (x + 1) f' (x) = f(1) = 5 x,

A: Solution is given below:

Q: Find f. r'(x) = Vx(3 + 10x), (1) = 11 (x)

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Q: Find f. f'(x) = 12x - 12+ x > 0, f(1) = 1 %3D f(x) =

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Q: Solve f'(t)-f(t)=2 where f(0) = 0

A: Given equation

Q: Let f(x) = |=| ƒ' (5). 0= √x-4 √x +4 Find f'(x).

A:

Q: Find f. f'(X) = Vx(6 + 10x), f(1) = 11 f(x) =

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Q: Find h' (1) for the function h(x) = f(x)f(x). h'(1) = f(1) = 5 and f'(1) = 1.

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Q: f(x) = (2x – 3)²

A:

Q: Given the function f(x)= e^x/(1+2x)^2, compute f’(1).

A: Given the function f(x)=ex(1+2x)2, compute f'(1).

Q: y y=f'(x) 2

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: find f'(a) f(t) = 1/(t2+7)

A:

Q: Find f. f'(x) = 1 + 3/x, f(4) = 28 х, %3D

A:

Q: f'(rr), where f(t) = sint cost

A: Given function is ft=sint cost To find: f'π Solution: Product rule of differentiation is:…

Q: Find f. f"(x) = Vx(6 + 10x), f(1) = 9 f(x) =

A:

Q: xy + e^y = ln(x + y) defines y as a function of x implicitly for the most part. Express dy/dx in…

A: Given an equation, Where y is a function of x.

Q: Let f(x)=100/5+2e-0.01x. Find f'(x).

A: Write the given function using exponent.

Q: Differentiate Fa) =t 3x-8 F'(x) = = (X) %3D

A:

Q: f' (x) = 4\/x – 6x² + 3 where f(0) = 1

A: Given: f'x=4x-6x2+3; f0=1 for finding fx, we integrate f'x so, fx=∫4x-6x2+3dx…

Q: Find f '(a). f'(a) f(t) = 4t + 16 t + 9

A: We can solve this as follows:

Q: Find f(x) given that f"(x) = 3x^3 + 6x and f'(2) = 0 and f(2) = 0.

A:

Q: Find f. f'(x) = 8x – 3/x*, x > 0, f(1) = 7 - f(x) =

A: Our objective is to find f.  Since you have posted multiple questions. We will answer only one. If…

Q: If f(x) = = [²² S then f'(x) = 0 f'(-5) = t² dt

A: We have to find the function f(x)

Q: Find f'(x). Vx- 19 f(x) = e %3D

A: Given,            f(x) = ex-19

Q: Find f. f"(x)  =8  x3 + 5   , f(1)   =  0 , f'(1)  =8

A: It is given that, f''x=8x3+5,  f1=0, f'1=8.   Integrate the function f''x=8x3+5 as follows".…

Q: Find F'(x). F'(x) = F(x) = x + 5 [**5 X (4t + 9) dt

A: To find .

Q: |x-3. Find flexo :)? f(x) = \ / . \

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Q: Find f'(x), where f(x) = xV4- a°. | f'(x) = %3D

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Q: B. f"(x)=8x³ +5, ƒ(1)=0, ƒ'(1)=8

A:

Q: Find h'(x) given that h(x) = Vx² +1

A: To do this problem we need chain rule  Chain Rule (using ’ ) f'(g(x))= f’(g(x))  g’(x) We will use…

Q: f(x) = 4/9cot(x)  f'(x) =

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Q: Find F'(x). F(x) = dt 12

A: