(1, lett-²), 122 Write the function f(t)=< a)_ƒ(t)=u₂(t)(eſ(²-²) −1) b)_ƒ(t)=u₂(t)(e²² −1) c) _ƒ(t)=1+u₂(t)(e¯(t−²) – 1) d) f(t)=u₂ (t)e (²-2) 0

Q: For the function f(x) = -7 e X, find f"(x), f''(0), f'"(9), and f''(-9). f"(x) = (Type an exact…

A: The objective is to solve the above question.

Q: Find f"(x), given that f(x) = 8 csc x+x* -7e2x -Vx²

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Q: : Q2) Find the derivatives of each of the following functions? 1- y= tan (V3x + In(5x)) 2 y In…

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Q: Find y as a function of a if y(0) = 7, y'(0) = 4, y"(0) = 133. y(x) = y" - 8y" -y + 8y = 0,

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Q: 2) Find the derivatives of a) y = 7 - 6x-x² b) y - ³x 8 √x

A: Given :(a)y=7-6x-x2(b)y=-8x

Q: At which point is g(t) discontinuous?  g(t) = t^2+2, if t ≠ 1 -2, if t = 1

A: gt=t2+2,  if t≠1-2    ,  if t=1 The given function is continuous for all t≠1, because it is a…

Q: for function f(x) = e=z²/(20²) sketch f(x)!

A: Topic :- Calculus

Q: Find the derivative of f(w)= sin(4w²)+cos(4w²). A) Swcos(4w°)–8wsin(4w²) B) -8wcos(4w?)+8wsin(4w²)…

A: Given function is  f(w)=sin(4w2)+cos(4w2)Derivative of f with respect to w:f'(w)=…

Q: 3. (a) For P(t) = (4t² + 3) (2t³ — t)¹², find P'(t). After taking the derivative(s), do not simplify…

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Q: Suppose that f'(x) = 2x for all x. a) Find f(4) if f(0) = 0. b) Find f(4) if f(2)= -1. c) Find f(4)…

A: Given f'( x ) = 2x

Q: Let f(z) = 11 – z f (z) =

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Q: Why is sigma*integral(An*r^n*cosntheta) =0. Can you please explain it to me?

A: we have to prove , ∑n=1∞∫0πAn2ncos(nθ)=0 we can expand it to :…

Q: L=2-36X, y'co) =5, and ylo)=S x)

A:

Q: Consider a function f(x) where f" (x) = 5ª (ln 5)² + sin(- a) Find f"(x) dæ. b) Assume that f(0) = 9…

A: with the help of integration  properties we will evaluate the above function detailed solution is…

Q: For the function f(x) = In (x + 3), find f"(x), f'"(0), f''(2), and f"(- 4). 1 f"(x) = (x + 3)2 (Use…

A: Given function     f(x) = ln(x+3)

Q: a) Differentiate the function Q(p) = -2√/p³ (e-P-PB). b) Hence or otherwise, determine Q'(1).

A: The given function .The aim is to find the derivative function  and find the value of .

Q: Find f), (b) f(r) tan(2r)

A: To find f’(x).

Q: Let f (x) = x² 2 - 8 Find and simplify f'(x) and f" (x). + B where f'(x) = A = B = C = %3D Dx2 + E…

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Q: 3) f(t) = t*e?t %3D

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Please help!

A: Recall the quotient rule for derivative:

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Q: _____18) Find y' if y= 6+x √4-x²

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Q: 12. Find the second derivative for the function f (x)=4x+12x²-20x-18 and solve the equation f"(x)=0.…

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Q: 1. Determine f'(x) and DO NOT simplify. f(x) = 2x³7x² + 3x - 1 a) c) f(x) = -3√x 2 b) f(x) =…

A: To determine f'x and to do not simplify. (a) fx=2x3-7x2+3x-1 (b) fx=5x2-3x (c) fx=2x2-3x

Q: A company determines that monthly sales S(t), in thousands of dollars, after t months of marketing a…

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Q: Find derivatives of: 1.) f(t)= 7t          2.) g(x)= 3x-9      3.) h(v)= v3 4.) m(x)= π2

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Q: Solve F (t) = 1 + 2 | F (t- u) e " du. -2u

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Q: Let f(x) = Vx and g(x) = x³ +1. Find 29 a) f(g(2)) b) g(f(4)) c) f(F(16)) d) g(g(0)) e) f(2+ h) f)…

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Q: (g/f)(x) f(g(x)) g(F(x)) f-1(x)

A: As per the bartleby guidelines for more than three parts only three has to be solved. Please upload…

Q: Differentiate the functions. a) f(x) = 2 – 5x + b) f(x) = e* + cosx c) f(x) = d) f(x) = (5 – x²)· e*

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Q: Example If F[f(t)] =el/(1+f^2) find the F.T of F[f(2t)] 1+f2

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Q: 4 Let f(x) = 6x°va + || f'(x) =

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Q: The function f(x) = sin(kx) contains the point A(, -1). The function is: Oa) f(x) = sin(-x) Ob)…

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