H.W using differentiation prove that SinX s Cos, व

Q: Let g(t) = (3t)Sin t̟ Find the derivative of g. %3D sin t g'(t) = (3t) sin. + cos t· In (2t)| %3D

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Q: Exercises. Use implicit differentiation to find dy/dx. 1. y= arc cOS X 2. y = arc cot x

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Q: sinx xくT。 Discuss The Continuity of y= COSX

A: Continuity :     limx->af(x) = L            where, L is the limit value i.e. finite and will be…

Q: x = a(cos t+ t sin t), y = a (sin t-t cos t) Find the differentiation.

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Q: Using the parametric differentiation find if x = 9 cos t, y = 3 sin t. dx 3.00 sin t O 0.33 -0.33…

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Q: Differentiate the function.

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Q: az Calculate az and using implicit differentiation. Leave your answers dy in terms of x, y, and z.…

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Q: dy (using implicit differentiation) da For the function: sin y = 3x + 10, find O 3 sec y O -3 sec y…

A: Hence option (a) is correct.

Q: Find the derivative. sin 0 d. 1 dx 1- x2 de A. tan 0 B. sec 0 C. cot0 O D. cos 0

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Q: -Use implicit differentiation to find y: a- tan xy = y b- tan?(y + 1) = 3sinx %3D

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Q: Find dyldx by implicit differentiation (leave your answer in terms of x and y). cos x sin y = 0.75…

A: Consider the equation  cosxsiny=0.75

Q: x + y ди show that x 1 +-sin 2u = 0 4 If u = cot - x +

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Q: 3- Use implicit differentiation to find dy B- Xy= Cot (xy) y Sin()=1- xy

A: In implicit differentiation, differentiate each side of an equation with two variables by treating…

Q: sin a cos x tan2 x dy find using Given that y = da logarithmic differentiation.

A: Given,       y=sinx cos4x tan2xx5

Q: How many differentiation is required to be obtain the DE in this equation? cy= (x-y)* +C, 2 O 1 O 2…

A: We will use relation between number of arbitrary constant ( unknown constant ) with number of…

Q: cos(x – y) Prove that tan y + cot x sin x cos y

A: We need to prove cosx-ysin x cos y=tan y+ cot x                  Now, we will use the formula…

Q: Sin(1). I+5t is (1)u [In(1) ]² The Differentiation of f(1) = A True B) False

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Q: dy Using the parametric differentiation find if dx 8 cos t, y = 3 sin t.

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Q: Verify the formulas by differentiation.

A: To verify the formula ∫dxa2+x2=1atan-1xa+C using differentiation. We know that integration is…

Q: ind the derivative o y = sin(tan( %3D %3D

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Q: sin z cos z dx

A: solution is given below

Q: az az and ду in terms of x, y, and z. Calculate using implicit differentiation. Leave your answers…

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Q: dy (using implicit differentiation) da For the function: sin y = 3x +9, find O3 sec y O -3 csc y O-3…

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Q: Prove the pollowing identity.. (sin x t cos L cas x)- sin 2X-CoS T Sin'x + Cosx

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Q: ind y' by direct differentiation (with respect to x).  y = 99cos(x) and    y = 7x sec(x)

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Q: Use implicit differentiation to find the specified derivative at the given point. Find at the point…

A: To the specified derivative differentiate the given function with respect to y .(take z as a…

Q: Let g(t) = (3t)Sin t, Find the derivative of g. %3D sin t g'(t) = (3t) sin. (21)] + cos t· In(2t)…

A: The given function is g(t)=3tsin t

Q: Verify Rolle's theorem for: f(x) = e*(sinx - cosx) on

A: Given:

Q: Use implicit differentiation to find the tan x sec?x 9. y' of sec?x + csc²y = 9 ans. y' = coty csczy…

A: topic - implicit differentiation

Q: Find dy/dx using implicit differentiation a. tan y=x+y b. cos x=x(1+cot y)

A: For (a),     tany=x+yDifferentiating both sides we get,⇒sec2y y'=1+y'⇒dydx=1sec2y-1

Q: Use implicit differentiation to determine expressions for dy/dx in the following: i) 5ex2cos y=e2y…

A: Given equations are, i. 5ex2cosy=e2ysinx ii. sin2x-4sinx cosy+tany=0

Q: Use implicit differentiation to find d u sin(3v + u) =U COS U

A: Given that

Q: dy Using the parametric differentiation find dx if x = 12 cos t , y = 3 sin t. -0.25 tan t 4.00 sin…

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Q: 1. Use the fundamental theorem of calculus part 1 to compute the derivative VI-t²dt. cos(z) dr

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Q: Determine the following indefinite integral. Check your work by differentiation.

A: To evaluate the integral: ∫16cos2w-81sin2w4cosw-9sinwdw Solution: We know that…

Q: dy Use implicit differentiation to find dr y? + 4x = 5y- 7x? dy da Submit Question

A: Topic:- derivatives

Q: dy Using the parametric differentiation find if a = 7et, y = 3e144. dx

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Q: q² sin where a is a parameter

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Q: Prove the identities Then use them to show that a. sinh 2x = 2 sinh x cosh x. b. cosh 2x = cosh²x +…

A: Here we have to use the given identities to prove.

Q: The sine and cosecant functions are continuous on their respective domain. O TRUE O FALSE A function…

A: Topic = Functions 1) TRUE 2) FALSE

Q: メ y= 2xye %3D **** sin () € ;- xe-y %3D

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Q: Prove that sinh z = sinh x cos y +i cosh r sin y.

A: To prove, sinh z = sinh x * cos y + i cosh x * sin y

Q: [In (e* *=)] y = sin? sin

A: Given  y = sin2 ln esin-1 x2   We know that ddxf(x)n = n·f(x)n-1·f'(x) ddxsinf(x) = cosf(x)·f'(x)…

Q: 19. y = In(sin.x+ cos x) 20. y = In(secx + tan x) Use the given trigonometric identity in pare the…

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Q: 3-Use implicit differentiation to find dy 2 B. xx-Cot (xy) y Sin(. ) = L-Xy

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Q: 3- Use implicit differentiation to find dy 2 B. Xx-Cot (xy) y Sin f )=1-xy 2

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Q: Differentiate each of the f cosh(x)+1 cos(r)+1 a. Y =

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