Find an antiderivative of the following function by trial and error. Check your answer by differentiation. 9x +4 e ..... 9x +4 dx = e

Q: Find an antiderivative of the following function by trial and error. Check your answer by…

A: we need to use trial and error method

Q: Find the derivative of the following function. 7x e y= In 4x y =D

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Q: Differentiate the following function.   y = e2 ln (x+1)

A: We have given y=e2lnx+1 Then, dydx=ddxe2lnx+1=e2dlnx+1dx=e2×1x+1=e2x+1

Q: a. y = x? – x + 1| 1 b. f (x) = 2x+1

A: We have two equations as a function of x . Hence we can differentiate both the equations with…

Q: nd the derivative of the following function with respect to x. V5x + 8 V1– 9 cos (4x) Vx² + 10x h…

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Q: find the derivative of the following functions

A: The given function is st=4ett

Q: Find the following higher-order derivatives.

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Q: Find an antiderivative of the following function by trial and error. Check your answer by…

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Q: Find the particular antiderivative of the following derivative that satisfies the given condition.…

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Q: Find the derivative of the following functions without skipping steps y = - cos ? (3x) + ctg² (5x³)…

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Q: Find the most general antiderivative of the function, and check your answer with differentiation.…

A: We will use the formulas: Using the formulas we get: Here a=2 c=integrating constant

Q: Find the antiderivative for each function when C equals 0. Check your answers by differentiation.…

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Q: Given (y+ 3.x)“ – 4.x = 0,use implicit differentiation to express dy in terms of x and y. dx

A: Solution:

Q: Consider the function F (x) = Sº,2 e* dt dF and determine the derivative dx O e^(x^4) No answer text…

A: Given that the function F(x), then we have to determine the derivative dF/dx .

Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

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Q: Compute the given derivative. dx x=-9 e 1/9 O 9e9

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Q: 3 S (x) = Se²* + +2x 2-1 +12 csc(x)cot (x)+3 b)

A: Explanation is given below.....

Q: 2. Is the function G(x) = 2e -5 an antiderivative of the function g(x) = 6e"? Use the…

A: Given information: function Gx=2e3x-5 function gx=6e3x here, we have to show that, the function G(x)…

Q: Let e - v = 1. Find each derivative. du dv (a) dv (b) du (c) Based on your answers to parts (a) and…

A: eu2-v-v=1

Q: Find the derivative of each of the following functions. a) f(r) - VE+-+ V2 +e" b) f(r) – (e*+2)ln(5…

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Q: Given that h(x) = xi + what is the anti-derivative of h(x)? (Do not include the constant C'in your…

A: Anti-derivative

Q: Find the particular antiderivative of the following derivative that satisfies the given condition.…

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Q: Prove each of the following using the definition of the derivative.(a) The First-Power Rule: d/dx  x…

A: Let f is a real valued function. The derivative of f is defined by: f'(x)=limh→0 fx+h-fxh provided…

Q: In the given question/s, find dy /dx by implicit differentiation :-   x5 + y5 =16

A: The equation: x5+y5=16

Q: 1. =2*e* = 2*e*

A: Given:y=2xex We will use product rule to find the derivative of the given curve. Product rule:…

Q: Find dy/dx by implicit differentiation for the following.:6x2 + 5y2 = 36

A: To find the differentiation

Q: Find the particular antiderivative of the following derivative that satisfies the given condition.…

A: Given  C'x = 3x2-6x;  C0=3,000.

Q: Find dy using implicit differentiation (xy )° +y? = 5

A: Here we have to find the we have,  differentiate with respect to x,

Q: Find the particular antiderivative of the following derivative that satisfies the given condition.…

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Q: Find the derivative of the following function. - 4 %D (7x x + 1) りの X. 口 dy %3D dx

A: Given:- y=-47x5+16 To Find:- dydx

Q: Determine the value of the derivative of the function stated below, at x = 1. d "2х-1 4 dx \ x+2

A: The given function is: f(x)=2x-1x+24

Q: d -y(x) if e²-y = sin a d.x

A: We will solve the following

Q: Find derivatives of the functions defined as follows:

A: Given that : The function is y = tet + 2e2t +1 .

Q: Find the dy/dx of the following function. Implicit differentiation e2y + x3 =y

A: We have to determine derivative of following function

Q: Find the antiderivative of the given derivative. dp e*+4e -4x dx

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Q: Use the rules of differentiation that we learned in class to find the first derivative of each of…

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Q: (1) For each of the following, compute the desired derivative. (a) If g(x) = 5x® – 22 + 7, compute…

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Q: Find the derivative of the following exponential functions: ans. y' = -4e-4x 1. y = e-4x ans. y' =…

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Q: Find the particular antiderivative of the following derivative that satisfies the given condition.…

A: I have stated the used formula in the solution

Q: 32. Differentiate the following function with respect to y. e + 3º = 1

A: This is a simple differentiation problem

Q: d х2-1. dx x2+1 x = -2 %D

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Q: If f(x) • g(x) is to be integrated with respect to x, taking dx as the differentiated variable,…

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Q: h(t) = (e" +2)

A: given that h(t)=(e3t+2)5  So h'(t) = d/dt (e3t+2)5  h'(t) = 5(e3t+2)4 [d/dt (e3t+2)]  h'(t)= 15e3t…

Q: 4. Calculate the derivative of the following functions, and find a formula for their inverse: (a)…

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Q: с. у %3D (3х — 1)(2х + 5) d. g (x) — х3 — зЗx2 + 2

A: Product rule of differentiation: ddxf(x)g(x)=f(x)ddxg(x)+g(x)ddxf(x) Power rule of differentiation:…

Q: Find the derivative of the following functions from first principles. (i) x? (ii) e* (iii) log (x+…

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Q: Find the particular antiderivative of the following derivative that satisfies the given condition.…

A: Solution: C′(x)=3x2 −5x​; C(0)=2,000

Q: How do I find the antiderivative

A: Given derivative function with condition

Q: Determine dx for each of the following functions. Do not simplify the dy expressions after applying…

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