If f(x) = then f"(x) = = X √ ² ( 2³ + (t³ + 4t² + 5) dt 0 ←

Q: x²+1 Find J+3x+1 11.

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Q: Let f(x) = 2x√x + f'(x) = x³√x

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Q: Show that if f (2) = −2 and f'(x) ≥ 5 forx > 2, then f (4) ≥ 8.

A: Given that f (2) = −2 and f'(x) ≥ 5. And also, f(4) ≥ 8.

Q: Let f(x)=√1+4x f'(3)

A: We know that the derivative of x^n=nx^(n-1)

Q: x-²²-3 ²-3, determine the x-value(s) where f(x) changes from concave up to concave down. f(x)= Ox=…

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Q: What is the derivative of y= 5x² + 10x+5x-3, A None of the given choices (B В 10x + 10 – 15x-4 © 5x…

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Q: 2. Determine f'(1) for the function f(x) = (8x – 6Vx5 + 3) (x² – 9x² +) -

A: A detailed solution is given below

Q: Suppose f(x) √₂+² = √1+tdt 2x find f'(1).

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Q: If f(t) = 9t+1, find f"(5). %3D

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Q: If the function f(x) is defined as f(x) = = (4-2√√x)² √x -,x>0 Then, what is the value of ƒ'(16) = ?

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Q: Find the approximate integral of the following function using Simpson's 3/8 rule and determine the…

A: Given: fx=ex2, x=0, 4, E=0.0002 To find: n To find: Approximate integral.

Q: If ƒ(x) = 3x√x + ƒ'(9) = x²√x then ←

A: f(x)=3xx+2x2xwe know  ax×ay=ax+yd dx(xn)nxn-1

Q: IF F"(X)=12X^2+24X-6 ,  F'(1)=10,   F(2)=20 , determine the function f.

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Q: f(x) = Ax , g(x) = Bx^2 Find A and B if (f o g) (1) = 11

A: This is a simple question based on composition of functions which could be solved with the basic…

Q: 10) Find (ƒ^¯') (-5) if ƒ(x)= x³ +3x−1.

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Q: Show that F(x) = 4x² + 6x +5 is anti-derivatives of f(x) = 8x + 6

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Q: f(x) = 3x² (1 + 7x-3

A: The given function is:fx=3x21+7x-3

Q: X=(1)+ wam (xf pulf Z-x7=(x)₂ + £I-E#

A: Topic = Integration

Q: If f(x) = √2x + 7, find f'(x). Find f'(1).

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Given h(r) = 1/r+8, find the following.  h(x^2)+1

A: We have to solve the given questions

Q: Let ƒ(x) = (7x² − 7)¹ (6x² − 3)⁹ - Find f'(x) = do not oxpand an

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Q: Find f ′(a) f(t) = t^5 - 3t

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Q: 3. Let f(x) = 4x3+ + 2vx-7. Find f'(x).

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Q: If a = 1 − v^2 and both x and v are zero when t = 0, show that x = −1/2ln(1-v^2) and hence find v^2…

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Q: Sketch the following functions. Show all your work. N a) Domain b) Intercepts c) Symmetry d)…

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Q: For f(z) = 2es'the value oflog(f(z)) is

A: Given that fz=2eπ8i We have to find the value of logfz

Q: 2x 5. F(x) = "(5t – 1) dt

A: Here, it is given that F(x)=∫x2x5t-1dt

Q: If f(x) = x²/(1 + x), find f "(2). f "(2) = L

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Q: Let f(x) = -2x√√x + f'(x) = -8 x²√x

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