11. Find the difference quotient for the function f(x)=(x+1), then simplify.

Q: At what value of x does the function f(x) =x-2 x change from decreasing to increasing?

A:

Q: Find the slope of the secant line between x=2 and x=5 on the graph of the function f(x)=−2x2+2x+3.

A: We have to find  the slope of the secant line between x=2 and x=5 on the graph of the function…

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A:

Q: Use the chain rule to find the derivative of f(x) = 4(5³ – 5æ")“ You do not need to expand out your…

A: The given function, f(x)=45x3-5x714

Q: Select the correct answer for end behavior of the function: As a → -0, ƒ(x) → As x → 0, f (x) →

A: we have to check

Q: a. Find the inverse of the function ƒ(x) = mx, where m is a constant di«erent from zero.b. What can…

A: To find :   a) The inverse of the function f(x) = mx, where m is a constant different from…

Q: 2. The average cost (in dollars) per mile for riding a miles in a cab is c(x)=2.5+2z As x gets…

A: Given that: c(x)=2.5+2xx

Q: Find the slope of the secant line between x=−2 and x=3 on the graph of the function f(x)=−2x2 −5x+1.

A: The point on the graph when x =-2 is given by plugging x=-2 in the function:Hence, the point on the…

Q: Find f'(2) if y = f(x) is the nonnegative function defined for x, y > 0 by the equation x" = y?.

A: To find f’ (2), if y = f (x).

Q: 1. What does it mean to say that the equation +y 6ry defines y as an implicit function of r? %3|

A:

Q: 6. If two functions f (x) and g(x) have positive slope at x = a, must the function h(x) = f (x)g(x)…

A:

Q: Where is the function f(x) =| x | differentiable?

A: Given information: fx=x The function, after removing modulus function, y=x=x,      x>0=-x,…

Q: 9. Determine the coordinates of a point(s) that do not change between the original and the…

A: Given that: f(x)=-x2+5

Q: Iff is a one-to-one function with f(9) = 3 and f'(9) = 2, find the equation of the line tangent to y…

A:

Q: 18. Suppose that a company produces and sells bicycles and that the start-up cost is $3000 and $75…

A:

Q: 14. Use the curve sketching procedure to analyze the function. a. y-x'+x²-20x а. 1+x? b. y=- 1-x?

A:

Q: Where is the function y =4x/x-3 concave downward? Show mathematical work to clearly answer this…

A: For a given function y=f(x) the curve is concave downward in an interval I when the second…

Q: Find the point on the graph of the function that is closest to the given point. f(x) = /x, (3, 0)…

A: Given, y = f(x) = x Let's assume the closest point to (3,0) will be (x, y) then (x,y) = (x, x)…

Q: Suppose that f(x) is a differentiable function and g(x)=(x+2)/f(x). If f(1)= 5 and f'(1)=10, then…

A:

Q: Use the limit formula for the derivative of a function at a point to find f'(-3) for f(r) = 2r2 – r.

A: use limit definition to find the value of derivative.

Q: 1. Plot the function f(t): (x+5) for -35 x 5. 4+3x2

A: Plotting graph by finding slope.

Q: Find the slope of the secant line between x=−1 and x=2 on the graph of the function f(x)=−3x3+4x2+2.

A:

Q: 16. Find the range of the function y = 1+ x2

A: Range: The range of the function is the set of all values of the dependent variable y corresponding…

Q: 9. If y varies directly as x, and y is 42 when x is 12 A) Write a function that represents this…

A: NOTE: Refresh your page if you can't see any equations. . to remove the proportionality sign we…

Q: Consider the function f(x) = z + 6

A: Givenf(x)=1x+6

Q: For what x-value is the function y = |x+5| not differentiable?

A:

Q: What happens to the function f (x) = 1 + as x approaches to zero.

A: The definition of the function gx=x is given by, gx=x for x≥0=-x for x<0 Thus, the left hand…

Q: Graph the function f(z) = – 2x´ and draw the tangent lines to the graph at points whose…

A:

Q: dont understand the fourth and fifth row of equation of gh(x) and why the function is invalid?

A: Solution

Q: 1 For what value of x does the function g(x) =x³ – 2x² concave downward? %3D

A: Consider the function  gx=13x3−2x2

Q: True or False The graph of the function f(x) = x2 is increasing on the interval [0, ∞ ].

A: The statement: The graph of the function f(x) = x2 is increasing on the interval [0, ∞ ].

Q: 8. 4 2

A: In this question we will use basic of calculus i.e use of tangent function. We will write the…

Q: X+1 5) Is the function given by f(x) x2 - 8x + 15 continuous at x = 3? Why or why not?

A: f(x)=x+1x2-8x+15

Q: This is what I have so far but it says I am missing something.

A:

Q: How much revenue does the company get from a customer who uses exactly 30 therms of gas in a month?…

A:

Q: Find the slope of the line tangent to the graph of f(x) = -1₂ at x = 3. x+2 Provide your answer…

A:

Q: 6. a. Use an x- interval of 0.0001 to determine the instantaneous range of change of the function…

A: Consider the given function. fx=x4+8x3+19x2+12x The objective of the problem is to find the…

Q: 1. Use the second derivative test to find the relative extrema of the following function. f (x) =…

A:

Q: Find the slope of the secant line between x=3 and x=5 on the graph of the function f(x)=−2x^2+2x+5.

A:

Q: Suppose that f is a linear function with slope 4 and that f(2) = 7. Find the equation for f with…

A:

Q: Find the slope of the secant line between x = 3 and x = 4 for the function f(x) = −x² − 2x + 4.…

A:

Q: There is a bacteria cell in a Petri dish that is reproducing at a rate of              r(t) = 2t^2+1…

A: Solution:

Q: Find the lineearization L(x) of the function f(x) = x^3/4 at x = 16.

A:

Q: 8. Given the function f(x)%=2x3 -5x3 , find the point where the tangent is horizontal to the curve.

A:

Q: 14) What is the domain of the function f(x) E, ?

A:

Q: Suppose that f is a linear function with slope 2.4 and that f(5) = -1. What value of x gives f(x) =…

A: Consider a linear function f with slope 2.4 and f(5)=-1 .

Q: Find the average rate of change of the function f(x) - 3x – 2x – 2, on the interval 2 < x < 4.…

A: NOTE: Refresh your page if you can't see any equations. . take x=2

Q: 6. What is a point of inflexion ? Does f(x) = x' have a point of inflexion at x = 0?

A: Given that,

Q: The marginal revenue​ (in thousands of​ dollars) from the sale of x gadgets is given by the…

A: Given that,the marginal revenue in thousands of dollars from the sale of x gadgets is given by,…