QUESTION 3 List the intervals of increasing and decreasing for f(x) if it has a derivative of f'(x) = -(2x+11)*(x-7). List all local maximums and minimums of f(x).

Q: On the interval –5 < x < 6, for how many values does f (x)(graphed below) have a derivative equal to…

A: Given:

Q: The above is the graph of the derivative f '(x). How many critical points does the original function…

A: From the graph of function f'(x), number of roots of f'(x) are three. Let f'(x)=ax3+bx2+cx+d

Q: The derivative of the function f is defined by f'(x)=x²-3 sin (x - 5). What is the x-coordinate of…

A: Solution:

Q: Can i get help step by step?

A: Rearrange the given ODE to get dy in terms of dx.

Q: The derivative of the function f is defined by - f'(x) = (x² + 2) sin (2x − 2). If ƒ (2) = 7, what…

A:

Q: 4. The graph of the first derivative of a function ƒ is given below. yA y= f'(x) 3 5 7 (a) On what…

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Q: Find an equation of the tangent line to the graph of the function at the given point. f(x) = (1 −…

A: The equation of the function  f(x) = (1 − x)(x2 − 3)2

Q: Find an equation for the tangent line to the graph of the given function at ( – 5,32). - f(x)=x² +7…

A: Given query is to find equation of the tangent line.

Q: Q1) Find the Derivative to the function and find local minimum and local maximum points y = 3x? - 3

A: y=3x2-3 We need to find the derivative of the function and to find the local minimum and local…

Q: 5a) Using the formula man = lim+)=/G2 determine the derivative/ slope of tangent for h→0 the given…

A:

Q: 4. Using the first derivative test to find the location of the local maxima of the following…

A: Given function is  f(x)= x^3 -3x^2 -9x-1

Q: The derivative of a certain continuous and differentiable function is given by: y = 3-x - 12-x +9.…

A: For maxima-minima, derivative of the function must be zero. That is,…

Q: We cannot find the derivative of composed functions. We can however, using some algebra, find the…

A:

Q: In the given equation/s as follows (a) find the critical numbers of f, if any, (b) find the open…

A: Given, f(x)=x23-4

Q: Find an equation of the curve whose tangent line has a slope of f'(x) = 3x 10/11 given that the…

A: Given is derivative of f(x) we find f(x) so we integrate it.

Q: 2. Find the derivative y' for each function/curve. Once you solve for y', you do not need to…

A:

Q: 9. If a rock is thrown upward on the planet Mars with a velocity of 10 m/s, its height (in meters)…

A: Given- If a rock is thrown upward on the planet Mars with a velocity of 10 m/s, its height (in…

Q: Find the function with the given derivative whose graph passes through thế polnt P. f (x) = 2x – 3,…

A: Given function: f'x=2x-3 And passes through the point P3,4

Q: Given the function g(x) = 8x* + 84x² + 288x, find the first derivative, g'(x). = (x),6 Notice that…

A: Since, you have ask multiple part's in the question. I am answering for first three parts. Please…

Q: The folowing is a reworded question from very last night . A printed solution of  a length of curve…

A: To find the correct integrand to evaluate the length

Q: Fill in each blank so that the resulting statement is true.

A: The slope of the tangent at a point on the curve is equal to the value of the derivative of the…

Q: find a linearization at a suitably chosen integer neara at which the given function and its…

A: Given         f(x)=sin-1x , a=π12

Q: In the given equation/s as follows (a) find the critical numbers of f, if any, (b) find the open…

A: The given function is;  f(x)=x2-8x differentiate with respect to x f'(x)=ddxx2-8x

Q: Find an equation of the tangent line to the graph of the function at the given point.…

A:

Q: On what interval is the function f(x)=x^2e^x concave downward?

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Q: 3) (a) Let f(x) = -x²-x. Use definition of the derivative Equation 3.4 to compute f'(x). (No other…

A:

Q: (a) Let f(x)=√√2x+1. Use definition of the derivative Equation 3.4 to compute f'(x). (No other…

A:

Q: In the given equation/s as follows (a) find the critical numbers of f, if any, (b) find the open…

A:

Q: 4.) f (x) 3D х2 – 1

A:

Q: f'(x) = (2x – 1)ee".

A:

Q: Find an equation for the tangent line to the graph of the given function at (-5,29). f(x)=x² +4 Find…

A: f(x)=x^2+4   (-5,29) slope=m=dy/dx m=dy/dx=d(x^2+4)dx=2x m=2x (-5,29) m=2(-5)=-10

Q: Given the function g(x) = 4x° + 30x2 + 48x, find the first derivative, g'(x). gʻ(x) = Notice that…

A:

Q: (# 11 Exam 1 Review) Find the equation of the line tangent to the graph of the function: f (x) =…

A: For the equation of tangent, we need to find the slope of the function at x=1.

Q: Two business students at Brock University decided to open a small company together to sell their own…

A:

Q: Question 1 Apply the First Derivative Test to find the minimum value of f(x)=(2x^+2)/x² . Keep 4…

A: The given problem is to find the minimum value of the given function using the first derivative…

Q: 1. The derivative of the sum or difference of two differentiable functions is to the sum or…

A: The solution is given in the next step.

Q: Find the equation of the tangent line to the graph of the function f(x)= 2+5 z-8 at the point

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Q: f(x) = x2 -1

A:

Q: 3. Find all possible functions with the given derivative y' =- 2

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Q: 3.) f (x) 3 5х — 3

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Q: The function f(x)=6x+9x^-1 has one local minimum and one local maximum. Algebraically use the…

A: topic - application of derivatives

Q: 5. Find a function f(x) whose derivative is f'(x) = +1. (Hint: (x + 1)/x=1+1/x)

A: 5) derivative of a function is given, to find the function we have to find the anti derivative of…

Q: 14) Find the first derivative of f(x) = 2*²2*

A:

Q: 2 We want to find the derivative of h(x) x2 4 + 6Vx. The first step is to rewrite each term of the -…

A:

Q: (a) Find the derivative f'(x) of the function f(x) = (b) Graph f(x) and f'(x) side by side using…

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Q: Use Desmos to create a single graph with the following three functions: 1. f(z) = 4x5 - 7z 2. f'(z)…

A: The given graph is: fx=4x5-7x3 Using Desmos draw the functions fx, f'x, f''x:

Q: f(x) = 2 Lim f(x+x) - fox) AX f'(x)= 4x40 Lim AXO Lim (x+4x)² - + (x+AX)^2-x²² AX AX x= x + 2x (0x)"…

A:

Q: 10.(a) Find the derivative of the function f(x) =x² +2 using the definition of derivative. (b) What…

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Q: In finding the root with Newton's Method, an initial guess Xo = 4 with f(Xo)= 1 leads to X1 = 3.…

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.