Find an equation for f(x) using the secant function. (x) f(x) 10 x 3 -2 n 2) 2. 4. 6.

Q: Let f (x) = x3 – 3x2 – 1, x 2 2. Find the value of df-1 at the point x = -1 = f (3). dx -

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Q: What is the range of the function f(x) = 23 sin 4z+1 ? A) (0, 0) в [금, 16] C [금, 4] D [2, 0)

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Q: 3) Let f(x) represent the path of a particle. x* 1 f(x) =+ x 2 1 16 2x2 Suppose the particle starts…

A: The arc length = the distance covered along the curved path f(x).  A = the arc length  A =…

Q: Use your calculator to make the graph of f(x) = x³ - 5x. df (a) Is- positive or negative at x = 2?…

A: The given function is f(x)=x3-5x

Q: For the function ƒ(x) = 2* we use the two-point formula to approximate the first derivative of f at…

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Q: given y=f(x) and the function is linear, use this change equation to solve the problem.  Given that…

A: Given that f(4)=-5 We have to find what is the numeric value of f(0).

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: ६(६+६) : (11-2+21) 2 (5+276 : (7 (622) 7) *b - (b) 4 (+) दहिका xb SEX K xb

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Q: find the diferential of the function when x = 2 and dx = 0.1 f(x) = x ln (x^3 + 2x - 4)

A: We will use the definition of differential.

Q: For what value(s) of x is f(x) = 4?

A: The first thing we must do for this case is observed the y coordinates for a given value of x…

Q: 2. (a) Define what it means by for y = f(x). %3D

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Q: f(x) = 4x^3-(x+9)^1/2 What is the interval or intervals on which the function is differentiable on…

A: Refer  to the question the provided function is f(x) = 4x^3-(x+9)^1/2.

Q: Given the function f(x)=In(x² -4x+3) a. Find the domain of f(x) b. Find all x values where f (x) has…

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Q: The tangent to the function, f(x) = -2x² + 3 at the point (-1, 1) is the hypotenuse of right…

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Q: of Find - for the following function. and 5xy f(x.y) = e In (3y)

A: Given: Now,        ∂ ∂ xe5xyln3yTreat y as a constant=ln3y∂ ∂ xe5xy=e5xy∂ ∂ x5xy=ln3ye5xy· 5y

Q: d f'(a) for the function f(x) = 3x-2. swer: f'(a) =

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Q: Q1) Find the local extreme values of the function f(x, y) = 3y2 - 2y - 3 x + 6xy

A: We use second order partial derivative to find maximum, minimum and saddle points

Q: f(x) = 5 S 2+3x² + 2x_r +1 x = 1 Determine the type of discontinuity of the function at x=1. 2.

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Q: (b) Given f(x)=9x – 6x² + x. Find F(x) dx in the form a In|g(x) + h(x)], where a is a constant

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Q: For what values of æ does the function f (x) = 12x – æ³ have a horizontal tangent line? Select all…

A: The given function is fx=12x-x3

Q: On what interval(s) is the function y = –2x² + 3x/3 both increasing and concave down?

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Q: (a) If e19z f (2) = z10 + 49 at how many points the function f (z)is discontinuous ?

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: The domain of the function f(x)= tanh( - 23) is (A, 264)

A: Given,          The domain of the function fx=tanh-1xk-23 is A,264.

Q: 2. Given the function f (x) = sinx and g(x) = x², find the value of g(fG)

A: Given function are f(x) = sin x   and g(x) = x2 We have to find the value gfπ4

Q: Vhich of the following is NOT TRUE about the function f(x, y) = e² + e"?

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Q: (A) Find the absolute maxima and minima for ,3 Y = x + 5 over [-V2, v2). (B) Use the second…

A: y = x33-x+5y' = 3x23-1y' = x2 -1x2-1 = 0x2 = 1x = ±1

Q: Find all the extreme values and their types from the function f defined by f (x, y) = 2y ^ 3 + 2x ^…

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Q: Q2: What are the extreme values 2 of the following function? F (x,y)= 5+ (y sin x)

A: The given function is Fx,y=5+ysinx. Need to find the extreme values of it. We know that…

Q: For what value of x does the function g(x) =--x³ + 2x? strictly concave downward? А. x> 2 В. х>1 С.…

A: Use the property of strictly concave downward i.e.g"(x) <0.

Q: Q1) Find the local extreme values of the function f(x, y) = 3y² - 2y -3 x + 6xy %3D

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Q: For /- (x+x³) (x Tan-lx+1) dx = In[F(x)]+C• What is f(/3) if C = 0? -1 3 -1 + + + -15-15-15

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Q: Q8: Calculating Derivatives from the Definition. f(x) = x2 – 3x - 1 %3D

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Q: 2. Given the function f(x) = sinx and g(x) = x*, find the value of g(f

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: et f (г) — 5ӕ? — 2 — 7. Find f(x+h)-f(x) h in simplest form. - -

A: I am attaching image so that you understand each and every step.

Q: Use the chain rule to find the derivative of f(æ) = 4(92". – 8a")" You do not need to expand out…

A: Given the function f(x)

Q: (b) If 38 10z f (2) = (2** + 6) e then at how many points the function f (z) is not differentiable?

A: f is every where differentiable, there are no points such that the function f(z) is not…

Q: Let f(x) = x² – 4x – 5, x > 2. Find the value of df-1/dx at the point x = 0 = f(5).

A: (f-1(x))' = df-1dx = 1f'(f-1(x))

Q: of the functions f(t) = e² implified.

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Q: given y=f(x) and the function is linear, use this change equation to solve the problem. Given that…

A: We have to use the given differential equation.

Q: 2. a) Find a formula for f1 for the function y = f(x) = vx – 35

A: To find f-1 for y=f(x)=√(x-35)

Q: I find (g ∘ f)(x) by replacing each occurrence of x in the equation for_______ with_________

A: The meaning  of "g" of "f" (g ∘ f)(x) means gfx That is replace each occurrence of "x" in the…

Q: f(x) = 3x³ – 9x² + *+3 Determine the equation of a line parallel to the tangent to f(x) at x = 4.

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Q: Find all the extreme values and their types from the function f defined by f (x, y) = 2y3 + 2x3 -…

A: Given: f (x, y) = 2y3 + 2x3 - 3xy2 - 12x

Q: y? For function f (x, y) x2+1 Starting from the point (1, 2), at which direction does the above…

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Q: On the graph of f(x)=sinx and the interval [−2π,0), for what value(s) of x does the graph cross the…

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Q: Q4) f(x, y) = x'/3 – x/ay² is harmonic ? Does the function

A: our objective is to conclude result.

Q: The derivative of the function f(x) = 18 is 1 5x 18 5x + 18 18 5x4 + (x) 18 5x4 (교2) 18 5x4 + (23)

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Q: y2 For function f (x, y) = x2+1

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Q: Consider the function f : R² → R equal to f(x1, x2) = ¿xí + 3x + sin(2x1). Is it convex? Motivate…

A: The given function is fx1,x2=12x12+15x22+14sin2x1 The objective is to show whether the function is…

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: