Suppose x and y are variable (y is a function of x) that satisfy the equation sin(x+ y) =xy, What is the result for the derivative of y with respect to x? cos(x+y) -y x- cos(x+y) dy A dr cos(x+y) - y dy B dr 1-x cos(x+y) -y cos(x+y) – dy COS dr dy D cos(x+y) - y dr x-1 C.

Q: The derivative of the function y = (10e* – 10x*)(tan x) is: a. y' = (e* – 40x3) tan x + (10e* –…

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Q: What is the derivative of y= 3Arcsin xº, 3 Arcsin x In 3 A y' = 1 - xa 3 Arcsin x* In 3 3 B y' : (а…

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Q: Find the derivative of y with respect to the independent variable. COS y = 10 cos ( OA. -10 COS TO…

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Q: 10. Find the first derivative of sin (y) + cos (x) = 1. cosx siny sinx a. y' b. y' %3D cosy C. y'…

A: We have to find the first derivative of sin(y)+cos(x)=1.To find the derivative we use chain rule of…

Q: Find the derivative of f(x). f(x)=(x^2)(sin^2(2x^2)) Apparently the answer should be…

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Q: If the derivative of the function f (x) is f'(x) = 18z2 + 2x + cos(z) + 6, then which if any of the…

A: Solve the first order differential equation by separation of variable and integration.

Q: Suppose x and y are variables (y is a function of x) that satisfy the equation *2- y³=12, What is…

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Q: Find the value of the derivative (if it exists) at each indicated extremum.           f(x) = cos x/2

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Q: Find the derivative of the function. y = e4 e -20 - 20 cos 50 O A. - 5603 e - 20 , sin 50 O B. 03 e…

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Q: 13. We know that x = r cos 0 and y = r sin 0, then find the derivative af/ar if 1 f = ? + y?

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Q: 5. Consider the function f(r, y) = sin(x² + y²). (a) direction of (4,3). Find the derivative of f(r,…

A: The directional derivative is the rate at which the function changes at a point in the direction .…

Q: 1. Find the derivative of the following using implicit differentiation. BARZA c. y = sec(x + y) TYON…

A: The implicit function is of the form f(x,y)=0 in implicit differentiation y is a derivative of dydx…

Q: 1. (x*+2x)°(6x²+4)dx 2. [3x²+2x+1 dx 3. (x?)/(x³-4) dx 4. (x+1)/(\x²+2x+1) dx

A: As per the guidelines we can solve 3 problems only.

Q: 1. Find by implicit differentiation (a) e=/y = x – y (b) sin (x + y) = COs r + Cos y

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Q: Find the derivative. х10 cos yt dt y = A. sin (x) B. cos (x$) – - 1 C. Cos (x*) D. 10x° cos (x°)

A: We know that

Q: (a) From sin2 x + cos2 x = 1, we have f(x) + g(x) = 1. Take the derivative of both sides of this…

A: (a) From sin2 x + cos2 x = 1, we have f(x) + g(x) = 1. Take the derivative of both sides of this…

Q: 4.) Find the derivative of the following functions a.) y = sin(x) + cos(x) b.) y = csc(x)cot(x) c.)…

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Q: Suppose u and v are differentiable functions of x. Use the given values of the functions and their…

A: As we know that the derivative of uv form is given by ddxuv=u'v-uv'v2 see below the answer and…

Q: The derivative of the function y = (3e* – x²)(cos x) is: a) y' = (3e* – 2x) cos x – (3e* – x²) sin x…

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Q: Suppose x and y are variable (y is a function of x) that satisfy the equation sin(x+ y) =xy, What is…

A: Given : Equation sinx+y = xy Where,  y is function of x   To find : Derivative of y with respect to…

Q: Find of the fo lloming function the derivative Tin C A y'= (Sinsc) oc Sin 6-1 Sinac +Inx cos scl +…

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Q: The derivative of the function y = xe(5+sec(2x)) is: y' = [1+ 2x sec(2x) tan(2x)]e(5+see(2x)) y' =…

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Q: Find the derivative of Screen Shot 2021-10-05 at 7.41.38 AM.png ... In sin-1 e y リ= 2 1 ® y' = -x )…

A: We can solve the problem by just doing the derivative of the function

Q: Suppose x and y are variable (y is a function of x) that satisfy the equation Sin(x+y) =xy, What is…

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Q: Suppose that y is a differentiable function of x andz = cos (x4y9).Express  dz dx  in terms…

A: Given a differentiable function

Q: Find the derivative of the given functions. 1. D;(x²cos 2x) 1 1 2. y =x + 7sin 2x 3. f(x) = sin?(5x…

A: We have to find

Q: suppose u and v are differentiable functions of x. Use the given values o fthe functions and their…

A: Consider the given information: u2=6u'2=2v2=-3v'2=-4 Consider the given derivative. ddxuvx=2

Q: Let f (x) =x. cos(x2). what is the correct result of the derivative of f with respect to x? A…

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Q: If f(x,y)=3 sin (2x+y)-4 cos (x-y) then the second derivative f , is a. 3 sin (2x+y)+ 4 cos (x-y) b.…

A: In the question it is asked to calculate the double derivative of the function given.

Q: Suppose that x and y are related by the given equation and use implicit differentiation to determine…

A: →duvdx = udvdx + vdudx→dkdx = 0  where, 'k' is any constant.

Q: Find the derivative of 7 (t) = (1+t°, te¯t, sin (2t)) A. F'(t) = (3t°, (1 + t)e¯t, 2 cos (2t)) B.…

A: We are asked to find the derivatives.

Q: Find the derivative of y = x°e*. O a. y' = 3e*x2(e*+x) O b. y 3x2(e* +1) O c. y = e*x2(x+ 3) O d. y'…

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Q: Find the derivative with respect to x. (c) y = v7x – x4 (d) y = (1+ sin 7.x)-5 (a) y = (5x – 2)*…

A: This question is related to derivative, we will solve it using given information.

Q: If f(x.y)=sin (2x+y) then the derivative f, Is 2 cos (2x+y) a. b. cos (2x+y) c. 2 sin (2x+y) d. 2…

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Q: The third derivative of y = cos 1 sin 27 1 111 a) y" b) y" 27 %3D 3 1 1 c) sin d) y 27 y = - %3D 27…

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Q: Find the derivative of the following functions: = Arccos 4x -4 ans. y' = V1-16x2 4. y = Arcsec(sec…

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Q: The third derivative of y = sin(2.x) is (A) None of the given choices B y" = 8 cos(2æ) © y" = -8…

A: This question is related to differentiation, we will solve it using given information.

Q: suppose u and v are differentiable functions of x. Use the given values of the functions and their…

A: According to quotient rule of differentiation, ddxuv=vdudx-udvdxv2 The value of ddxuv at x=1 will…

Q: Suppose that y is a differentiable function of x and w = cos(y5). Express the derivative of w with…

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Q: Let y be defined implicitly by the following equation as a function of x and z : eyz +sin(tyz) – xyz…

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Q: Suppose x and y are variable (y is a function of x) that satisfy the equation sin(x+y) =xy. What is…

A: We have to find derivative

Q: Find the derivative of y: 1- y = (cos 0)▼2

A: See the details solution in below

Q: Let f(x) =x-cos(x²). what is the correct result of the derivative of f with respect to x? A f'(x)…

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Q: 1. Find the derivative using differentiation rules: A) g(x) = 2x – + 3* - e x1 B) y(t) = (t³ – 7t2 +…

A: (1) (A)   ddx(g(x))=ddx2x-1x3+3x-e=2(1.x1-1)--13.x-13-1+3xln3-0=2+13x43+3xln3 (B)…

Q: Find the derivatives of the f: 1. y: sin (x²+3) 6. y= e tan 3x 7. y: e 2. y= tan (4x*) cot (3x-8) 3.…

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Q: We know that x =r cos 0 and y =r sin 0, then find the derivative af /ər if 1 f = x2 + y2

A: Given f = 1x2+y2  and x = r cosθy = r sinθ Thus f = 1r cosθ2+r sinθ2= 1r2 cos2θ+r2 sin2θ=…

Q: b. Find the derivative of y = Scos (x) sin(3–2x) + tan2(3x² – 4x) – csc(V2x – 1 Jand express your…

A: To find the derivative of below equation

Q: Show that the function f(z) does not admit an anti-derivative in the domain N = C\{0}. Does it admit…

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Q: 10.Suppose that x and y are related by the equation 5x 2−4y 2=2 and use implicit differentiation…

A: The given equation is 5x2-4y2=2

Q: Suppose x and y are variable (y is a function of x) that satisfy the equation sin(x+y) =xy, what is…

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