Use the graph of f to Identify the point that satisfles the given conditions, Answers may be used more than once, and some answers may not be used at all. y-f) G v f'(x)>0 and f"(x) <0 1. II. I v f'(x)>0 and f"(x) =0 III. H v f'(x)=0 and f"(x) >0 IV. A V. G vf(x)<0 and f"(x)> 0 VI. F VII. E VIII. C

Q: Given that h''(w) = - 34. State the function that best describes h'(w)

A: h"(w) = -34 Now to find h'(w)

Q: A curve, y=f(x) passes through the point (1, −1)(1, −1) and the slope of the tangent at any x is…

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Q: If y = x + 1* find f''(0)

A:

Q: -22 - x2, find f(x), f(x), f(x), and f(4)(x). " (x) 70 = aph f, f', f", and f" on a common screen. y…

A: Given query is to find indicated derivatives.

Q: If f(x) = 3x² − 5x+7, find f'(-5). | Use this to find the equation of the tangent line to the…

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Q: 1) If ƒ(x) = x³, then f'(x) 2) If g(x) 3) If h(x) = = 1 m4 = 3x4, then g'(x) = then h'(x) =

A: As we know that; The Power law: ddxxn=nxn-1 And a·f'=a·f' , where a is constant.     1). The given…

Q: (6) The population density in a circular city depends on the distance r, in km, from the center. The…

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Q: Given that h"(w) = -34. State the function that best describes h'(w). O a. h'(w) = -34w O b. h'(x) =…

A: Use the concept of power rule of derivative and select the option form given.

Q: Let f(x)=x^4-6x^2+10 solve the following    1. Fine the equation of the tangent line when x=1  2.…

A: Please refer to the image below

Q: Find f'(1) if f(x) = √√√x + )=√x+ +2

A: We are given,

Q: Suppose f(x) = 19x + 18e. Find: f'(2) = =

A: To find f'(2)

Q: The derivative of the function f (x) is represented by f (x, isf"(x) = A. D. B. E. C.

A: We have to find the derivative of the following function -  f(x) = 1x3

Q: Suppose you know that f(8) = - 1, f'(8) = 10. Find the equation of the line tangent to the graph of…

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Q: X - 2 Consider the function f(x) x – 4° Use the graphing utitlity to graph f.

A: 1. The given function f(x)=x-2x-42. f'(x)=x4-16x3+81x2-146x+80

Q: Let f (x) = - x² – 3. Find and simplify ƒ' (x) and ƒ" (x). x5 f" f'(x) = A = -3 B C = || f" (x) D E…

A: Given Function f( x ) as follows

Q: Determine the equation of the tangent to f(x) at (3, 6) f(x) = (8x-7)(x + 2x²)

A: f(x)=(8x-7)(-x+2x2)equation of tangrent line is y=mx+cwhere m is slope of linem=f'(x)

Q: Given the function f(x) = x-7, x > 0, (a) Find f'(x).

A:

Q: One x value where f '(x) is negative.

A: fI(x) is the slope of the graph at any point . So, we will try to find the slope value at all points…

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: