Given the functions x = 3t² + 4t and y d²y = sin 2t, find dx?

Q: Given y = xva² – x² + a² sin¬1 (A. dx

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Q: Given x = 9t - 34 and y = 81 sin t dy dx dy dx2

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Q: Given æ = 11t – 10 and y = 121 sin t dy (i) dx dy (ii) dx? ||

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Q: Given y= sin3x, dy at a = 3 is approximately

A: The given function is y=sin3x. Differentiate the given function as follows. dydx=ddxsin3x=cos…

Q: Given x 4t – 13 and y = 16 sin t dy dx a²y dx2 ||

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Q: Given that cos(2x+y）=4xsiny, where 0≤y≤π, find the value of y and dy/dx when x=0

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Q: for : y = x*+cosx dx dy Find

A: Taking log on both side, then differentiate wrt x by using product rule.

Q: Given x 14t – 24 and y 196 sin t - dy dx d²y dx?

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Q: he variable y is defind implicitly by the equation x^3+9xy^2+3y=43 Use implicit differeentiation to…

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Q: 1 7. y = \x sin x,

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Q: For the equation, find dy/dx evaluated at the given values. x2y + y2x = 0 at x = -1, y = 1

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Q: Given x = 4 In(t) and y = 16 t² then find dy dx d²y dx?

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Q: Given x = 5t – 27 and y= 25 sin t dy (i) dx d'y (ii) dx? ||

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Q: dx

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Q: Given x = 2t - 35 and y = 4 sin t dy (i) dx dy (ii) dx2

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Q: if y= T-x x sinx dy , find V1-x² dx

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Q: d) y = sin*(x'/3) + arctan(r?)

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Q: Given x 13 In(t) and y = 169 t² then find dy dx

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Q: y = sin (2x) + et ,Find dy Inx dx

A: 1. Differentiation can be defined as a derivative of a function with respect to an independent…

Q: If y=x2ex sin x,Find dy/dx

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Q: Find the dy/dx given that y = (sin x)x

A: The given value of y is, y = (sin x)x

Q: d'y Given that x= sec 0 and y= 2 tan 0. Find dx?

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Q: 34. ey sin x = x + xy

A: Given: eysinx=x+xy

Q: S = ÷ S gle) de, then 9 x /1 - xª dx 4

A: The question is taken from the calculus in which we have to solve the integral of given question We…

Q: find dy>dx.

A: y=8x+3 sinx

Q: dy Find for y = cosx(1 + cscx) dx %3D

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Q: Given that y=e3x sin 2x. Show that d2y/dx2 - 6dy/dx + 13y = 0

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Q: Given x = 75 sint + 30 and y= 75 cost +4 dx (i) dt dy (ii) dt dy (iii) dx || ||

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Q: Given x = 11t – 46 and y = 121 sin t dy dx dy dx? || ||

A: We have to find out the derivative and second derivative of given function

Q: dy Find if y = 4 sin?(3x) dx

A: Here we have to find the derivative of function y which is given as above. Here I am attaching a…

Q: Find by definition for the following : dx 1. y = (2x² + 1) 2. y = cosx 3. y = sin?x

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Q: dy b) Find for y = e2x sin(5x). dx

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Q: If y = 3 t2 – 4 t – 6 and x = dy sin (4 t) , find dx

A: Given, y=3t2-4t-6andx=sin4t To find the value of dydx.

Q: If y = 4x sin (5x), find Y a. dx

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Q: or the equation, find dy/dx evaluated at the given values. y2 = 8x − 7  at  x = 1, y = −1   dy dx=…

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Q: Find 3 for 2 = In (xº dx Provide your answer below: +y¹).

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Q: Q2: Find y(2) if D.E as give dy 2. +3y=sin 2x, y(0) = 6 dx Given

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Q: If y=x2ex  sinx ,FInd dy/dx

A: The given equation is, y=x2exsinx Then, differentiate by the chain rule as,…

Q: Find dy/dx given that sin(x+y) = y^2 cosx.

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Q: dy If x=sin y, find the value of at the point dx 2 3

A: Since we have been given that x=sin y -(i) and our aim is to find the value of dydx at the point…

Q: If y = (sin¬1 x)², show that dy (1 – x²) da? dy = 2. dr

A: y=(sin-1x)2 we have to show  (1-x2)d2ydx2-xdydx=2

Q: - y = V1 – sinx

A: Given,y=1-sinx3y=1-sin(x)13Differentiate w.r.t. x using chain…

Q: The value of | sin(x + y) dx dy is 0 0

A: To evaluate the below integral. ∫0π/2∫0πsinx+ydx dy

Q: The value of sin(x + y) dx dy is 0 0

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Q: Find dy dx the function y=2 sin 3X cos 2X

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Q: If Xy+yd, find the value of dy 5- dx 2 at the point Coy-1)

A: Given problem is :

Q: Given x = 13t – 6 and y = 169 sin t dy dx d²y dx? ||

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Q: Use this equation to find dy/dx. 8y cos(x) = x2 + y2 dy dx II

A: Given  8y cos(x)=x2+y2We find dydx

Q: For which value of a the equation dz dy dx =2 does hold?

A: as per guidelines we only solve one question at a time if you want to know the answer of all please…

Q: dy No need to simplify. А. Find dx 1. y = cos 3x 2. y = tan? | 3x² 3. y = 5x$ 13

A: We know that  ddxcosax+b= -sinax+bddxax+b ddxtan fx = sec2fxddxfx and ddxxn=nxn-1