1 (e) Find an explicit formula forf (z) the inverse of the function f(x) = V7z- 40 f1(z) = 固助

Q: Find the inverse of the function on the given domain. f (x) = (x – 16)2, [16, 0) ab sin (a) o (2) =…

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Q: 1. Find the slope of the line tangent to the function f(x) = 7 ln(x) – 6x at the point (1, -6). %3D…

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Q: 3. Verify that the following functions are solution of one of the equations in part 1 and match the…

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Q: 1. Find the second derivative of the function. 8(x) = 3\/x + e7*In(x)

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Q: 1. Write the derivative formula for each function. Use proper notation and equal signs. 12 b. h(x)…

A: Hey, since there are multiple subparts posted, we will answer first 3 questions. If you want any…

Q: I. Solve the following problems on functions. 1. If g(x)= v36 - x² , find g(0), g( - 3), g(=), g(2y)

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

Q: e*+1 Differentiate the function f(x)= In -3x +1 -3e A) 4e** +1 +1 3e B) e +1 +1 3e C) 3x 1. D) E) +1

A: Topic: differentiation

Q: Find f"(x) for a) f(x)= lnx - ln(1/x)

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Q: For some function h(x), h'(x)=x^3(x+4)^2 and h''(x)=x^2(x+4)(5x+12). Make sign charts for the first…

A: Use real number line

Q: 29. If f(x) = Eo(k + 1)¿x* for x E (–1,1) then f"(0) = 12.

A: Here, we differentiate the given function and check whether it is true or false.

Q: (1) A course repeater claims that his brother who did some Calculus at college years ago, but…

A: We need to derivate f(x) and g(x) to find if the given derivate is right or not.

Q: (a) f(x) = 2x7 – 3x4 – 41x? – 73 (b) f(x) = x cos x

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Q: 6. Find the derivatives of each function. a)f(x) = 3x4 – 4x² – 250 %3D b) g(x) = x/2 – x-1/2 %3D sin…

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Q: 5. Consider the function h(x) whose derivative h' (x) = 3x2Vx3 + 8. (a) Find functions f and g such…

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Q: 35-38 Find y" by implicit differentiation. 35. x2 4y2 = 4

A: Differentiate both sides w.r.t. x.

Q: x = 1. 2. Find the derivative of f(x) = 3x² - 5x at x = 1 using the formula f'(x) = lim f(x)-f(xo)…

A: The given function is fx=3x2-5x at x=1 by using the formula f'x=limx→x0fx-fx0x-x0. Find the…

Q: 1. Find the derivative of the functions, do NOT simplify. a. y = In(8 – 3x) | b. y = ln /2.x + 1 3a2…

A: We have to pick the most challenging formula among differential formulas and solve it.

Q: 2) a) Let f(x) = 2* + 3x7. Find f'(x) and f" (x). b) Find the derivative f'(x) in the following…

A: a.)   Given f(x) = 2x + 3x-1/2 f'(x) , f''(x) are to be calculated. Formulas used here  ** y = ax…

Q: 1. Find the first derivative of the function g(x) = 6x+ 27r'+36x. g'(x) 18x + 54r +36 2. Find the…

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Q: 5. Find a formula for the inverse of the following function. 1-е* y 1+e*

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Q: 7. Find and sketch the domain of the function f(x, y) = 2 ln(49 – x² – y²) + 8/ -

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Q: 1. Fit the function g(x) = v1x + v2 (x – 1)3 to the data in table below. Xi -1 1 Yi 2 1 -1

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Q: Evaluate the derivative of the given function for the given value of n. S= 4n^3 - 8n + 7  /  5n -…

A: We differentiate the following function by using divided formula of differentiation, see attached…

Q: -3- 6. USE THE ALTERNATIVE FORM OF THE DERIVATIVE TO FIND THE DERIVATIVE (IF IT EXISTS) OF f(x) = x²…

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Q: 1. Find the first derivative of the function g(x) = 8x³ + 12x² - 48x. g'(x) = 2. Find the second…

A: Solve the given

Q: 1. Find the natural domain and the derivative of the given function. (a) 3x² +7x + 5, (b) (3x +1)5,…

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Q: 1. Consider the function f ( x ) = 1 + 1/10 x3 + 1/25 x5 .  Select any point ( a , f -1 ( a ) ) on…

A: Given function : f(x)=1+110x3+125x5 To solve the given problem first we need to find the inverse of…

Q: cx2 + 2x if x < 5 Let f(x) x3 - cx if x 2 5. For what value of the constant c is the function f…

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Q: Find exact value(s) for x such that 3e" - e' = 0.

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Q: (1) A course repeater claims that his brother who did some Calculus at college years ago, currently…

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Q: 25. Find an equation of the form f(x) = a · b* such that f(0)=64 and f(2)=4. Show your work.

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Q: (1) A course repeater claims that his brother who did some Calculus at college years ago, but…

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Q: Find a formula for f(n)(x) if f(x) = e' -3x fln)(x):

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Q: f (x) = x² + 2* – 100 Solve this question by the Fixed-point method on the topic of solution of…

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Q: (a) Express the new function m(x) = ln in terms of the original function g(x) In(x). m(x) :

A: Given- mx=lnx2and gx=lnx To find- The value of mx in terms of gx. Formula used- lnab=lna-lnb

Q: 6. Suppose that the functions f and g and their first derivatives with respect to x have the…

A: a) fxg2x , x=1b) fx2+gx, x=0c) fx+gx, x=0

Q: 1. Compute the first, second, and third derivative of a. f(x) = x² In(x+1) b. h(x) = x² sin x

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Q: A2. b. Given the two generating functions f (x) = and g(x) = find the (1-x)2 (1-x)2 generating…

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Q: x²-4 6. f(x) = si x # 2 x-2 5 a. Halla el Dominio b. Evalúe: 1) f (0) 2) f (-3) 3) f (2) si x = 2

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Q: 1) A course repeater claims that his brother who did some Calculus at college years ago, but…

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Q: 8) Find (f-1)'(a) for each (the derivative of the inverse of function f). f(x) = x³ + 2x + 3, a = 0…

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Q: 2 If f(- 4) = – 1, and f'(– 4) = Let f (x) be the inverse function of f(x). (f ')'(- 1) = %3D Write…

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Q: if y(x)=Power[x,2]+3 and x(t)=3t-1, what is y(x(t))??? and how does functional notation make sense??…

A: Given yx=Powerx, 2+3 and xt=3t-1

Q: 1) 2 a) Let f(x)=√x +4. Use the definition of the derivative to find f'(x). Find f'(5) by two…

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Q: 1. Find the first derivative of the function g(r) 6x + 27x2 +36x. g'(x) = %3D 2. Find the second…

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Q: (a): Find the value of k that makes function continuous at x = 4 %3D S 2x + 8 x > 4 x < 4 f(x) = 5x…

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

Q: Find the derivative of f (2) = xe 2 o f (2) = e * (e – 22) z- O f (x) = x°e-2# (;- 2) O (E) None of…

A: The product rule of differentiation states that d dxfg=fdgdx+gdfdx, where f,g are functions of x.…