Calculate following derivative if y(t) = 6t-3 + 41². (Use symbolic notation and fractions where needed.) dy dt? |t=3

Q: Q2 Use the chain rule to find the derivative of dw w = x2 + y2 with respect to t ). with x = cost -…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Find the derivative dydx for the function x=1t+t, y=1t2 at the point t=12.

A: Here given

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A: Given: y=3x4 To find: dydx

Q: Find the derivative. x10 12) y = cos /t dt

A: We differentiate both sides with respect to x

Q: If z = (x +y) eª and ¤ 3t and y = 1 – ť², find the following derivative using the chain rule. Enter…

A: See the attachment

Q: - 9x Find the derivative of y with respect to x if y = e dy %3D dx

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Q: Find the derivative of y = = Ve-5t +1 dy dt ||

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Q: Find the derivative of y with respect to x for y = sinh 1(11/15x). dy 165 dx 2/1815x? + 15x

A: Given query is to find the derivative of the expression.

Q: Find the derivative of the function y = 5 . 5t +3·3. dy dt

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Q: Can you help me step by step?

A: Let y = f(u) then solves the derivative by applying the chain rule:

Q: Find the Derivative of the given function. If y = e cos(54) then dy dt

A: Solution is given below:

Q: Find the derivative. y = 5t cos (t) dt

A: To find the derivative of: y=∫0x5t cos(t6) dt...(1) The Fundamental Theorem of Calculus says:…

Q: Find the derivative of y = 7 In(sin t + 5). dy/dt =

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Q: find the values of the derivatives ds/dt at t=0 if s = 2/(4 - t)

A: Given function is Differentiating with respect to t, we get

Q: find the values of the derivatives dy/dx at x=sqrt(3) if y = 1-1/x

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Q: Q2// A) Derivative following functions by using chain rule m 1) y = Vu, 2) y = 4u, -Va+1 Vx+1

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Q: Calculate the derivative a 1 y = x + 3 (Use symbolic notation and fractions where needed.) dy dx x-4

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Q: 7)y= 2e* +2x -2.x

A: we have to find the first derivative of y

Q: Find the particular anti derivative that satisfies the following conditions:  dy/dx = 7x^-2 + 5x^-1…

A: dydx=7x-2+5x-1-5dydx=7x-2+5x-1-5dy =( 7x-2+5x-1-5 ) dx

Q: calculate the derivative.

A:

Q: Find the derivative of the function y = In(3t + 4). %3D dy dt

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Q: Derive the formula dy 1 dx 1 + x? for the derivative of y = tanx by differentiating both sides of…

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Q: Estimate the indicated derivative by any method. x = 4t + t2; estimate ds/dt | t= -2

A: Given, x=4t+t2 We have to find dxdt at t=-2 We will use following formula to differentiate the…

Q: Calculate the derivative indicated.

A: Since, y=4t-3+3t2  -(i)dydt=ddt4t-3+3t2=-12t-4+6t⇒dydt=-12t-4+6t

Q: Q2 find the derivative of the following: 1) y = 2sin?(5x) ,2) y = lnx'ncosh 5x ,3) xsin-14y = y…

A: See the attachment

Q: Find the derivative. cos ft dt y = x10

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Q: What is the derivative y^2 = 64 with respect to t? O 2x dx/dt + 2y dy/dt = 0 O 2x dx/dt + 2y dy/dt =…

A: Given that,  x2+y2=64

Q: d rcos t sin(x²) dx dt

A:

Q: Find the derivative. X dt 14) dx lol 0 5t+ 6

A: To find the derivative of given integral.

Q: Calculate the derivative: d dx * ST (6t3 – 9t) dt = -

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Q: Find the derivative of y with respect to t.   y=t(ln2t)^(2)

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Q: Find the derivative of y with respect to t. y = t(In 1t)2

A: The given function,  y=t ln 1t2

Q: find the values of the derivatives

A: given that, y=1-1xand we have to find dydx at x=3

Q: Find the derivative of the function.

A: Given: y=∫2x3x+1sint4dt

Q: can you help me step by step with this problem?

A: Find the derivative with respect to s.

Q: Find the indicated derivative. dy dt dy 11 for y=(2.5t-4t²) (2t+1.4)

A: Given that,   y=2.5t-4t22t+1.4

Q: Find the derivative of y=cos^3w+cos(w^3) dy/dw=

A:

Q: Find the indicated derivative. dy dt - for y = (2.2t - 4t?)(2t + 1.9) dt 11

A: We have to find dy/dt for Given function.

Q: Find the derivative. te dt dx

A: To solve the given problem, initially we have to perform the integration part then the derivative.

Q: Find the indicated derivative. dy dt for y=(2.7t-4t)(3t+1.6)

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Q: dw B) Use the chain rule to find the derivative dt of w = x2 + y2 with x cost, y = sint.

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Q: Find the derivative. y = 3t cos (t dt

A: Given that: y=∫0x3tcos(t10)dt

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

A: Given data is : dxdt=5et-3 , x0=4 To find the antiderivative

Q: Find the first derivative in the form of dy/dx  y= 2e^-2x + 2x^e^2

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Q: Calculate the derivative of the following function. y= cos (8t+ 15) dy dt

A: Differentiation of cos that ha is -sin thehtha. We will use changing rule to find dy/dt

Q: find the values of the derivatives ds/dt at t=-1 if s = 1 - 3t2

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Q: Find the derivative of the function. y = 4x e –6x – 3 ex - 3e dy dx

A: We have to solve the problem

Q: Find the derivative of y with respect to T. Y=t( ln 10t)^2

A: Use the derivative of the form f = uv