Consider the function. f(x) = x R(x) + Q(x) Identify the derivative f'(x). f'(x) = xR'(x) + R(x) + Q(x) O f'(x) = xR'(x) + Q'(x) f'(x) = xR'(x) + R(x) + Q'(x) O f'(x) = R'(x) + Q'(x) If R(x) = 5x² + 7 and Q(x) = , find an expression for f'(x). (Express numbers in exact form. Use symbolic notation and fractions where needed.) f'(x) = 15x² +5 In (x) +7 Incorrect Question Source: Rogawski 4e < Feedback Attempt 1 You have not correctly determined an expression for f'(x) using the given expressions for R(x) and Q(x). First, differentiate R(x) and Q(x) using the Power Rule. = nx"-1 To differentiate Q(x), rewrite it with a negative exponent. Then substitute all values into the general formula you obtained for f'(x) and simplify.

Q: Let ƒ'(x) = ƒ'(2) = f(x) = (x³ + 4x + 8) ²

A: f(x)=(x3+4x+8)2 d dx(xn)=nxn-1d dx(constant)=0

Q: (b) F₂(x) = F₂'(x) = 9 4(x4 + 1)5 (d) F4(x) = F4'(x) = X 4 (c) F3(x) = (9x² + 1)5 4 F3'(x) = 9 (4x4…

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Q: For some function h(x), h'(x)=x^3(x+4)^2 and h''(x)=x^2(x+4)(5x+12). Make sign charts for the first…

A: Use real number line

Q: Find F'(-1) given that f(-1) = -2, f'(−1) = 3, g(−1) = −2, g'(−1) = 10, and F(x) = f(x)g(x). F'(−1)…

A: This is a question of calculus  here is the function is given  we have to differentiate using the…

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A: *formula:- d/dx (cscx) = -cscx*cotx. d/dx (x^{n}) = nx^{n-1}. d/dx (cosx) = -sinx.

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Q: Find f'(x) and f''(x) 2х - 1 f(x) f'(x) = f''(x) =|

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Q: Find the derivative of f(x) = (x-2x)2 A) f'(x) = 6x5 - 12x3+ 8x B) f'(x) = 6x5- 16x3 + 8x %3D C)…

A: Here we find the derivatives of function.

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Q: If A and B are constants, find where f''(x) = 0 I= f(x) = 9 Ar² + 7. Bx³

A: Since you have posted multiple questions i can do first question as per our company guidelines…

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A: Given fx=x5+2x5x5+5x-4c=0

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Q: Find f'(x), f''(x), and f (x) for the following function. f(x) = 6x +8x2 + 3x f'(x) = f'"(x) = f3)…

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Q: Find f'(x) and simplify. f(x)= Which of the following shows the correct application of the quotient…

A: We can solve as follows Do not confuse in round bracket and close bracket. They are same in this…

Q: Find f'(x) and f'(c). Function Value of c f(x) = (x³ + 2x)(3x³ + 5x – 4) c = 0 f'(x) = f'(c) =

A: fx = x3 + 2x3x3 + 5x - 4fx = 3x6 + 11x4 - 4x3 + 10x2 - 8xDifferentiating with respect to x on both…

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A: INTRODUCTION   Given function: f(x)=(x2+6)4 To determine: The value of the second derivative of the…

Q: Find f''(x). f(x) = (x² + 7) 5 f''(x) =

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Q: Use the Product Rule or Quotient Rule to find the derivative of f(x) = None of these. f'(x) = f'(x)…

A: topic- derivative of a function quotient rule:uv'=vu'-uv'v2

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A: Given function :