Consider the function f(x) = 2x interval - 2, 2|. Find the average or mean slope of the function on this interval.

Q: The derivative of . f(x) = Vx4 is %3D

A:

Q: Use the limit definition to calculate the derivative of the linear function. f (x) = 7x − 9

A: Plug the given function in the limit definition of the derivative

Q: Find the slope of the secant line to the function f(x)=x3 when x=1 and x=2.

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Q: Use the First Derivative Test to find any relative extrema of the function. (a) g(x) = 2x³ – 18x

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Q: USE THE SECOND DERIVATIVE TEST To FIND LOCAL EXTREMA OF THE FUNCTION. F(x)= -x³ +12x² -5ON R.

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Q: What is the maximum slope of a tangent to the function f(x) -x³ + 4x - 2? ==

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Q: Use the second-derivative test, if possible, to find relative extrema of y x5 – 5x. -

A:

Q: Use the first derivative test to determine the local extrema, if any, for the function f(x) = 3(x -…

A: Given that a function f(x) and we find local extrema. For local extrema we do first derivative of…

Q: Find the average rate of change of the function from x₁ to x₂. Function x-Values f(x) = -2x³ + 5x² +…

A: Average rate of change of function y=f(x) from x1=a to x2=b is given by f(b)-f(a)b-a

Q: Find the average rate of change of the function from x1 to x2. f(x) = √x from x1 = 9 to x2 = 16

A: Now,

Q: Find the slope and equation of the line tangent to f (x) = x² – 4 at the point (3, 5).

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Q: The slope of a tangent to the curve f(x) = x² + 2x – 5 at the point (3, 10) is : 12 8. -5 10

A:

Q: Find the average rate of change of f(x) = x2 from x1 = 1 to x2 = 2

A: The average rate of change formula is:

Q: The slope of the curve f(x)= at x =1 is

A: given function :

Q: Use the Chain Rule to find the derivative of the function. y = (2x2 − 3)3 y' =

A: The chain rule to find the derivation is,

Q: Let f be function f(x)=9x2. Whats the Average rate of change between x=1and x=3:

A:

Q: Find the average rate of change of f(x) = 3x-1 on the interval [2, 10].

A:

Q: Find the average rate of change of f(x)=4x3-5 over the interval [-1,2]

A:

Q: For the function f(x) x + x3, find all of the relative and absolute extrema using the first or…

A:

Q: Use the second derivative test to find the local extrema for the function. y = 3x5- 25x3 + 60x + 20

A: We can use the application  derivative in order solve the given problem.

Q: Consider the function f(x) = 10/x + 9 on the interval [1, 7). Find the average or mean slope of the…

A: average slope of a function which is continuous and differentiable between given interval is…

Q: Find the average rate of change of f(x)=1x2−1 over the interval [2,2+h].

A: To find the average rate of change of the function f(x)=x²-1 over the interval [2,2+h]

Q: Find the slope m of the line tangent to the graph of the function f(x) = 5 - 6x at point (-1, 11)

A: Given:  f(x)=5-6x                y=5-6xDidderentating y=5-6x   with respect to 'x'  and substituting…

Q: Find the average rate of change of the function from X1 to X2 f(x)= -3x2-x  from X1= 5 to X2= 6

A:

Q: slope m of the line tangent

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Q: Find the slope of the curve y=x4 at x=3.

A: Find the slope of the curve y=x4  at    x=3.

Q: Find the average rate of change of g(x) = 3x² – 2 between the points (-4,46) and (3,25) -

A:

Q: Find the slope of a line that is tanget to f(x)= 1/x at the point (2,1/2).

A: Given:

Q: Find the slope and equation of the line tangent to f (x) = x2 +9 at the point (1, 10).

A:

Q: f(x) = (x + 2)(2x² – 3) %3D

A:

Q: What is the average rate of change for the function f(x)=x3−6x2+4x+7f over the interval 0≤x≤5?

A: We have to find

Q: Find the average rate of change for the function over the given interval. y= 2x - 8x2 + 3 between x=…

A:

Q: Find the average rate of change of g(x)=2x2+7/x3 on the interval [-2, 1].

A: Average  rate of change of g(x) on the interval [a,b] can be calculated as

Q: Let f be the linear function f(x) = -3x + 7. (a) The rate of change of f is (b) The graph of f is a…

A: Objective is to fine the rate of change , slope and y-intercept Intercept.

Q: Consider the function f(x)=2√(x)+3 on the interval [4,5]. Find the average or mean slope of the…

A: The mean slope is given by: f(5)-f(4)5-4=f(5)-f(4)1=f(5)-f(4)

Q: 3. Find the slope of the curve of the function y = at the point P (2,-).

A:

Q: find the average rate of change of f (x)= 5x3 - 6x2 - 10x+9 on the interval [-4,6]

A: We will use the average rate of change formula  f(b)-f(a)b-a. Here a=-4 and b=6

Q: Find the slope of the line tangent to the curve f(x)=3x-2 when x-2.

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

Q: Find the average rate of change of g(æ) = 2x² + on the interval [-2,3]

A: Given

Q: x = -t4 – 5t – 3 2.

A:

Q: Find the average rate of change of f(x) = x² - 3x from x = -3 to x = -1.

A: The given function is fx=x2-3x  and a=-3,b=-1.

Q: Find the average rate of change for the function over the given interval. y = 2x° - 5x2 +5 between x…

A: Average rate of change: The average rate of change is defined as the  total change of the function…

Q: For the function, find the average rate of change of f from 1 to x: (f(x)-f(1))/(x-1), x (not equal…

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Q: find the average rate of change f(x)=x2+6x from x1=3 to x2=4

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Q: Consider the function f(x)= 6/ +2 on the interval 1, 6). Find the average or mean slope of the…

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Q: Find the average rate of change of g(x) = 5x2 + (5)/(x4) on the interval [-4,3].

A: Given, g(x)=5x2+5x4 And given interval is -4, 3

Q: Estimate the derivative of the function f (x) =: -3 at the point a = 3.

A: The function is given by fx=x3-3 differentiate the above function w.r.t "x" f'x=ddxx3-3…

Q: Determine the derivative. x – 2x + а) у- x+3 b) y = n(4x² – 5x)

A:

Q: Find the average rate of change of the function from x1 to x2 f(x)= 5x+7  from x1=-1 to x2=0

A: