The quarterly profit (in thousands of dollars) of Cunningham Realty is given by P(x) 3D 극 -x² + 8x + 40 (0 < x < 50) where x (in thousands of dollars) is the amount of money Cunningham spends on advertising per quarter. (a) Find P'(x). P'(x) = (b) What is the rate of change of Cunningham's quarterly profit if the amount it spends on advertising is $12,000/quarter (x = 12)? (Round your answer to three decimal places.) $ per dollar spent on advertising What is the rate of change if it spends $32,000/quarter (x = 32)? (Round your answer to three decimal places.) %3D $ per dollar spent on advertising

Q: Find f.   f ''(x) = (5/6)x5/6

A: Consider f''x = 56x56

Q: Find the slope of the graph of the function f(x)=(-5x – 4)² at x = 3. a. f'(x)=-38 b. f'(x)=95 c.…

A: We need to find the slope of given function at x=3

Q: Find f. f "(x) = 5/ /1 - x2, = 2 ()- 2. f(x) =

A:

Q: rate of change;

A:

Q: uppose P(x) represents the profit on the sale of x DVDs. If P(1000) = 3000 and P'(1000) = −3, what…

A: Given that  Px  represents the profit on the sale of DVDs. P'1000  is our profit for selling 1000…

Q: If ƒ(x) = (3x² − 8) (4x + 6), find: - ƒ'(x) = ƒ'(2) =

A:

Q: If ƒ(x) = 8x¹¹(»), find f'(8).

A:

Q: Differentiate. G(x) = (4x2 +5) (4x+ Vx) G'(x) = %D

A:

Q: For f(x) = 2x- 16x +6 find the following. (A) f'(x) (B) The slope of the graph of f at x = - 1 (C)…

A:

Q: If f(x) = (2x-1)^6 (x+3)^5, then f'(0)=

A:

Q: If  h(x) =  sqrt of 7 + 6f(x)  where  f(4) = 7 and f '(4) = 2,  find h'(4).

A: Solution is given below..

Q: If 87 + 2 f(x) + 3x² (ƒ(x))³ = 0 and ƒ(1) = −3, find ƒ'(1).

A: 87+2f(x)+3x2(f(x))3=0,f(1)=−3

Q: ý (Profit in millons of dollars) 10 6. 2 t years 2000 2005 2010 2015 2020

A: We know derivative of a function represents the rate of change of that function

Q: Find the slope of f (x) = ln⁡(3x^2+8)/(-2)  at (2,−1.50).

A:

Q: For the function y = (x - 5)(x2 - 3x + 1) at (2, -3) find the following. %3D (a) the slope of the…

A: We have to find slope of tangent line and instantaneous rate for change..

Q: For f(x) = 2x-4x2 +8 find the following. (A) f'(x) (B) The slope of the graph off at x= -2 (C) The…

A:

Q: q(x)=ln(6x^2+2x+2), find q′(x).

A:

Q: h(x)=px^(3)+4px+(q)/(x), where p and q are constants. Given that h(-1)=-41 and h'(-1)=67, find the…

A: The objective of the question is to find the values of the constants p and q in the function h(x) =…