Let f(r) = -4(x – 2)³ + 1. Find a formula for f-1.

Q: Suppose that f(x) = 11e^(x) - ex^(e). Find f'(3).

A:

Q: If f"(x) = t"(x) for 0 < x < 1, then f(x) − t(x) for 0 < x < 1.

A: It is given that f''(t)=t''(x) for 0<x<1. It is known that derivative and integration are…

Q: Find the formula 1 [ f(x) dx = w₁f (0) + w₁f (1) that is exact for all functions of the form f(x) =…

A: Solution :-

Q: Find the function f (x), given that f'(x) = vx + x² and f(0) = 2.

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: find a general formula for f (n)(x). f (x) = x−3/2

A: Given, f (x) = x−3/2 To evaluate, fn(x)

Q: On which interval(s) is the function f(x)=(12/5)x5-3x4-8x3+5 increasing?

A: Given function is,

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: Find the value c in the interval [0,1] where f'(c) = f(b)-f(a)/b-a f(x) = 1/(x+1); [0,1]

A: Given,           fx=1x+1 ;  0,1

Q: Show that, for any constant k, f(x)' dxL k f'(x) k

A: To show: For any constant k, ddxf(x)k = f'(x)k

Q: Find a linear approximation to f(x) = 4xe2*-6 at x = 3. Use this linear proximation to estimate the…

A: To find Linear approximation

Q: Find a formula for f-'(x) and (f -1)'(x) if f(x) = V х-2

A:

Q: Let h(x) = f(z) where f(x) = ln(3x² + 2x +2) and g(x) = -2x. What is h' (x)?

A: hx=fxgx=ln3x2+2x+2-2xf(x)=ln3x2+2x+2 Differentiate f with respect to x…

Q: Find a general formula for f (n)(x). f (x) =x-2

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Q: Find f'(x). f(x) = 2x° - 6 ex f'(x) = (Type an exact answer in terms of e.)

A: We have to find

Q: Find a formula for f (z) if f(z) = I+1 f '(z) =O ( )'(2) =D-

A: We will use concept of inverse function and differentiation of a function.

Q: Determine the function f satisfying the given conditions.f ' (x) = ex/3f (0) = 8f (x) = A eBx + C

A: Given:

Q: Find for f'(x) | f(x) = x – cos(x) f(x) = e* – 2x - 2

A: To find f'(x).

Q: Find f'(0) for f(x) x = 0. 0,

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Q: Let f(x) = ln(x7) f'(x) = ƒ' (e²) =

A:

Q: find a general formula for f (n)(x). f (x) = x2e x

A: The first derivative of a function when equated to 0 gives us the critical points of the function…

Q: For the function f(x) =-X find f"(X), f"(0), f’"(1), and f"(- 1). "(X) = O I7

A:

Q: Find the function F(x) such that F' (x) = 8x and F(0) = 1 O 1+4x^2 O 4x^2

A: topic- Functions

Q: Consider f(x) = 3|x|, which is in R[-2, 2]. %3D b. Use the function F(x) to find ſ², f.

A:

Q: Please show step-by-step solution!

A: According to chain rule the derivative of the f(g(x)) is [f(g(x))]’=f’(g(x)) * g’(x)

Q: + The f(x) = Vx – 2 defined at (-0,2] T F

A: Given: fx=x-2 A real valued function is said to be defined in an interval I, if fx∈ℝ, ∀x∈I. Now if…

Q: for f(x)=2x4-5x3+7 find all potential points of inflection and map the intervals where the function…

A:

Q: If a F (2) = xy+i (x² – y²), what is F (-1+2i)?

A: given  F(z)=xy+i(x2-y2) To find the value of  F(-1+2i)

Q: Find a general formula for f("(x) if f(x) = 11x²e*. pln)(x) %D

A:

Q: Let f(x)= 2x ; 0<x<1. Find E(3X+5)

A: Given, f(x)=2x   ;0&lt;X&lt;1

Q: 10. For f(x) = -x² +5, find f(a+h)– f(a) if h+0.

A:

Q: Find f such that t'(x) = x - 2 and f(0) = 6. f(x) = O

A:

Q: Give the formula for f(n) (x) where f(x)= 1/(3x-1)

A:

Q: Find (go (x), given that g(x) - e nnd f(x) -

A: Given that:gx=ex and fx=x3To find: g∘fx

Q: find a formula for f^(n) if f(x)=x^2e^x

A: We find derivatives of f(x) using product rule.

Q: For the function f(x)=e5x+e−x defined on the interval(−∞,1], find all intervals where the function…

A: Find all the intervals for where the function is increasing and decreasing

Q: Find f if f"(x)= e-sin z - 3 4√ f'(0) = 0, and f(0) = 8.

A:

Q: Calculate R5, M5, and L5 for f (x) = (x2 + 1)−1 on the interval [0, 1].

A:

Q: Describe the long run behavior of f(t) = - (t + 3)°(t + 1)(t + 2) As t → - 0, f(t) –→ ? As t → 0,…

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Q: Determine Rn(x) for f(x) = 1ln(x) about x = e

A:

Q: If F(x)=∫e^(5t2) dt over interval [3x, 4x^2], what is F′(x)? (Do not include "F′(x)=" in your…

A: Given,  over the interval  .

Q: If f(x) = x² find a ō such that 0 < lx - 21 < & implies 1x² - 41 < F when = 1.

A:

Q: Find f'(x). f(x) = 9x" - 2 ex r'x)=| (Type an exact answer in terms of e.)

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Q: Compute f(x) and f(x) dx for the function f(x) = ∞  ∑…

A: f(x)=∑n=0∞x2n2n !.....(1)This is the well known series of the cosh(x)cosh(x)=∑n=0∞x2n2n !Now as we…

Q: If F(x) is an antiderivative of x2 + x1, then what is the value of F(1) - F(-1)? -2

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Q: Find $ such that D =F. x - hg - hp-

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Q: n x(0)=0

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Q: Find f'(x) for f(x) = 2x°e*. f'(x) =

A:

Q: 2 Determine f(x), given f'(x) = x´ – 3x + 1, and f(0) = 2.

A: As per the company guidelines we are supposed to answer only the first question.Kindly repost the…

Q: -3x Find f (x) given that f'(x)=x' +2-e* at (0,-1).

A: