dy Write the function in the form y f(u) and u = g(x). Then find as a function of x. dx -3 5x y= |2- 3. u = (Type an expression using x as the variable.)

Q: write the function in the form y = ƒ(u) andu = g(x). Then find dy>dx as a function of x.

A: the given function is: y=x28+x-1x4 we have to write the given function in the form y=f(u) and…

Q: x = t3 − 12t,    y = t2 − 2 find d2y dx2 and for which values of t is the curve concave…

A: We find dx/dt and dy/dt.

Q: Find function f (x) and gCx) so the giren function can be expressed hcx)=4 as (x+2)?

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Q: I-fp y 3 dy For the function y = f(x) = x² – 4x - 2, a > 2, find | (1)(3) =

A: An inverse function or an anti function is defined as a function, which can reverse into another…

Q: write the function in the form y = ƒ(u) and u = g(x).Then find dy/dx as a function of x. y = (2x +…

A: y=f(u)=u5 u=g(x)=2x+1

Q: t(x, y) x² + y?

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Q: Write the function in the form y = f(u) and u = g(x). Then find dy/dx as a function of x. %3D 6. 10…

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Q: write the function in the form y = ƒ(u) and u = g(x).Then find dy/dx as a function of x. y =…

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Q: + (3x + 9) y = e* In x, y(1) = 0 dx Enter vour answer as a symbolic function of x, as in these…

A: See the details solution in below

Q: Hiw Find dy for the followng functions- 1-5x +X 2+x 3. y= lacsinfe}} %3D

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Q: The function y=(x-4)/(x+2) is discontinuous at x equals? O -2 O 1 O 2

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Q: Write the function in the form y = f(u) and u = g(x). Then find dy as a function of x. - 12x y = e

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Q: d f'(a) for the function f(x) = 3x-2. swer: f'(a) =

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Q: Find dydx, where y is defined as a function of x implicitly by the equation below. −x2 +2x−4=−2y2 +y…

A: By differentiating and using the result that  derivative of  x^n is nx^(n-1), we get the required…

Q: df If f is the linear function f = 5x – 9, what is the value of dx

A: The given function is f=5x-9

Q: dy Ex2: find for the following functions: dx a) y = (x² + 1)5 b) y = [(5-x)(4- 2x)]? c) y = (2x3 –…

A: According to guidelines we should have been able to solve only three subpart of the question

Q: with the approphe Choose the correct function below. OA. O B. Oc. z=3-(2 -4)²• (2 -1)?

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Q: Find for the following function. dx2 y=e -6x2 %3D dx2

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Q: write the function in the form y = ƒ(u) andu = g(x). Then find dy>dx as a function of x.

A: Given: y=x2-1-10 Decompose this function as follows: y=u-10   and u=x2-1. Using chain rule.…

Q: Let I = FOx) dx, where fis the function whose graph is shown. y 15 10 2

A: Given, We have to find L2 ,R2 and M2 using graph, underestimate or overestimate of I, T2 using…

Q: Find the second derivative of the function Y = (3x² – 5)´ A. " = 1082? + 60 B. /" = 1082? – 60 C. "…

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Q: (b) Write the following function in the form of y = f(u) and u = g(x), then find as a function of x…

A: Please refer the attached image for complete solution.

Q: dx Find for the following function. 3at? y= |+t5 3at X =

A: The objective  of the question is find the derivative of the function.

Q: 2. (x? + 2ху — 4у?)dx — (x? — 8ху — 4у?)dy %3D0 -

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Q: For the function y df-1 f(x) = a? – x + 2, x > 0.5, find dy y=10 (f-1)'(10).

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Q: write the function in the form y = ƒ(u) and u = g(x).Then find dy/dx as a function of x. y = e-5x

A: Given function:

Q: Find the function f(x) that satisfies the given conditions. df 55xy11x? + 4; f(0) = 9 dx Answer f(x)…

A: Given the differential equation and f(0)=9 And we have to find f(x)

Q: Q4) r(x, y) = xs -x/ay2 Does the function is harmonic

A: We know that a function in two variable is called harmonic if it satisfies the Laplace equation…

Q: Write the function in the form y = f(u) and u = g(x). Then find as a function of x. dx y= e -4x

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Q: df-1 For the function y = f(x) = x+3x + 6, x> - 1.5, find %3D y 10 dy (f1) (10) = %3D

A: topic - derivative of inverse of a function

Q: 4. Given a function, fix), such that f(x)dx = 10, calculate: a) - r(«)dx b) S rx - 2)dx d) Stsx) +…

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Q: For the function f(x,y) = e9xy, find fx and fy. fx = ? fy = ?

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Q: write the function in the form y = ƒ(u) and u = g(x).Then find dy/dx as a function of x. y = e2x/3

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Q: df For the function y = f(x) = x² – 3x – 3, x > 1.5, find dy y=12 (f-1)'(12) =

A: Given  y=fx=x2-3x-3; x≥1.5

Q: Answer the ff. A.) Given that dy/dx = ∛(x^2 ) and y=3 when x=-1, find the function f(x) in terms of…

A: dy/dx = x23 and y=3 when x=-1,dydx= x23If  f'x=gx  then  fx=∫gxdxy=…

Q: write the function in the form y = ƒ(u) and u = g(x).Then find dy/dx as a function of x. y = e5-7x

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Q: Write the function in the form y = f(u) and u = g(x). Then find as a function of x. dx y= e - 10x…

A: Given that:y=e-10xTo find dydx

Q: Q2: A) Find an equation of the line tangent to the function of x? + (y-x)2 = 9 atx = 1.

A: There will be two tangents. The detailed solution is as follows below:

Q: find the diferential of the function when x = 2 and dx = 0.1 f(x) = 3 / (x-1) ^ 2

A: Given that f(x)=3(x-1)2 Take the derivative with respect to x, dfdx=-6(x-1)3df=-6dx(x-1)3

Q: mat ftoydk = hat f(x)dx: 1 Find the 2 a

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Q: Suppose y=f(x) is an even function. If , f(x) dx =7 and 25 So f(x) dx 25 16, find the value of S…

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Q: Which of the following equations DOESN'T define y as a function of x ? Select one: O y=x³+2 O…

A: To find the equation which doesn't define y as a function of x

Q: Q2\Find T.E of the function f (x) = e2x when a =2?

A: Given that  f(x)=e^(2x) To find teh T.E

Q: write the function in the form y = ƒ(u) and u = g(x).Then find dy/dx as a function of x. y = (4 -…

A: This function is the composition of two functions, namely Therefore,

Q: Q4) r(x,y) = x'/s – ½y? is harmonic ? Does the function %3D

A: The given function isf(x, y)=x13-19x-53y2to check the function is harmonic?

Q: Which of the following equations DOESN'T define y as a function of x ? Select one: O y= x3+2 O…

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Q: Given that dy/dx = (x^2) and y=3 when x = -1, find the function f(x) in terms of x y-x+c--1 C

A: dydx=x23=x23

Q: Q3: Find for the following functions: - dx csc-/3 5x

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Q: fand sketch it, for f(x, y) = x²

A: