Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antiderivative.) 8t g(t) Vt G(t) =

Q: Find the most general antiderivative of the function.(Check your answer by differentiation.)   f ( t…

A: Here the given function The antiderivative of this function is

Q: (c) Find the differential of the function: l =e"sin(s+ 21 )

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: L{f(t)} = f(t) = e* sinh t

A:

Q: 6. Fill in each of the blanks: _ dx = x® +C. (b) x° is an antiderivative of. (c) The derivative of x…

A: x6

Q: Let x be positive and a be a constant where x < a < vx . Find the indicated derivative: a d 21t dt +…

A: In this question we find integration bof given function and after we find first derivative. Here i…

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

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Q: define y as a differentiable function of x,  find the value of dy / dx at the given point. (x3 - y4)…

A: Given : Define , y as a differentiable function of x . The equation is ( x3 - y4 )6 + ln ( x2 + y )…

Q: Find the derivative of the function. f(t) = t/2 log,(v t + 3) %3D f'(E) = %3D

A: Given:           f(t)= t32  log9 t+3

Q: Find dy/dx by implicit differentiation. x²+ y = x3 + y? y? + 2xy? – 3x +1 = 0 = 1 x y (2x + y)3 = x

A: " Since you have posted a multiple questions, we will solve first question for you. To get remaining…

Q: Find the first and second derivatives of the given function. w = 6z? e? %3D dw dz ||

A: Given: w=6z2ez Differentiate the equation with respect to z.…

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

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Q: The derivative dy of the function y = f(x) with dx f (x) = e' (1ª + 2t³) is a) e' (41³ + 61²) + e'…

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Q: Find dy for the given values of x and Ax. y = 3x-2x; x= -2; Ax= 0.5 What is the derivative of y? dy…

A: Given: y=3x3-2x

Q: Find dy for the given values of x and Ax. y = 3x+5; x = 1; Ax 0.24 What is the derivative of y = V3x…

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

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Q: Find dy / dx, using implicit differentiation. exy = 7 dy dx Compare your answer with the result…

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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…

A:

Q: F(x) = [ain(=) e'dt et dt

A: Solution:

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

A: Given: fθ=6θ2-7sec2θ for integrating it we will use property given below…

Q: Find the antiderivative of the given derivative. ds = 5t(212 – 1)3 dt

A: Solution:-  given that  dsdt=5t(2t2-1)3 now  using identity (a-b)3=a3-b3-3ab(a-b)

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

A:

Q: Find the derivative (dy/dx) of the following functions: h) у%3D Зx7 —7х3 + 21x2 - i) y = (x² +…

A: Since you have asked multiple questions in a single request, we will be answering only the first…

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

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Q: d2y Find at the following point using implicit differentiation: dx2 xy1, (1,0)

A: Differentiate both sides with respect to x,

Q: Find f. (Use C for the constant of the first antiderivative and D for the constant of the second…

A: Given that

Q: Use the Product Rule to calculate the derivative.

A: y=t-8t-1et+t2

Q: Find the derivative of the function P = (4+ ln r)8. 0.8 %3D dP dx

A:

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

A:

Q: d²y Q1/ By using implicit differentiation, find dy and dx of the following function: dx2 y =…

A:

Q: Find dy/dx, where y is defined as a function of x implicitly by the equation below. x4-3xy2=2

A: We have to find dy/dx of curve equation .Curve equation is given by:

Q: Find the differential of the function. .6 y = V 3 – t

A: giveny=3-t6

Q: Find dy for the given values of x and Ax. 3 2 y = x° - 3x + 5; x = 1; Ax = - 0.1 What is the…

A: Given: y=x3-3x2+5 ; x=1; ∆x=-0.1

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

A: We have to determine derivative of following function

Q: Given that f(x) = 9x + x³ + 6, find the derivative of f- by using dy the formula dx 1 Check your…

A:

Q: x* +x?y² + y³ = 5

A: x4 + x2y2 + y3 = 5 Differentiating with respect to x; 4x3 + x2(2y* dy/dx) + y2(2x) + 3y2 (dy/dx) = 0…

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

A: Given function

Q: Find dy for the given values of x and Ax. y = /2x + 5;x = 3; Ax = 0.13 What is the derivative of y =…

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Q: Find the most general antiderivative of the function. Check your answer by differentiation. (a) f(x)…

A: According to the given information, it is required to determine the antiderivative of the given…

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

A:

Q: Find the differential of the function. T =V 9 + uvw

A: Given T = v9+uvw

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

A:

Q: d?y by implicit differentiation, given x³ + y³ = = 8. Find dx d?y dx2 dy 8,

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Q: Find the first derivative or h'(s) of the function below using the techniques of integration: 4 h…

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Q: and hence determine the rate of change of y with respect to x for the following algebraic functions:…

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

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Q: (i) Find dy for the function y dx xcot a using logarithmic differentiation

A: Implicit differentiation

Q: 3 dK Use the definition of the derivative to find for the function K(z) %3D dz 6z + 1"

A:

Q: Find the antiderivative of the given derivative. ds = 14t(5t2 – 1)3 dt S=

A: