Use the quotient rule to find the derivative. Simplify the result. d [ 6/I dx 3x – 4

Q: Calculate the derivative of y with respect to r. xe = 5xy+3y Answer(s) submitted:

A: Given:         xey=5xy+3y3   Differentiating on both sides we get         ddxxey=ddx5xy+3y3…

Q: Use the Quotient Rule to find the derivative of the function. Re) = Sos(t) f'(t) =

A: We will find the derivative of the function f(t) as following.

Q: ind the derivative of the function f(t) = 7t sin(nt)

A:

Q: Use the quotient rule to find the derivative of the following.

A: Consider the given function. rt=t2t+3 The quotient rule is defined as, dydx=vdudx-udvdxv2 Where is u…

Q: Use the Product Rule or the Quotient Rule to find the derivative of the function.  f(t) = 2t5 cos t

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Q: Use the rules for derivatives to find the derivative of function defined as follows.

A: Given that: The function is r(t) = 5t2 - 7t3t+13 .

Q: Use the Quotient Rule to compute the following: d t²+ dt \ t2 The derivative is:

A:

Q: r(s) = V2x² + 3x – 1 %3D

A:

Q: Find dy without using the quotient rule; rather, rewrite the function by using            dx     a…

A:

Q: Use the Power Rule to compute the derivative.

A: The power rule of derivative is given by: ddxxn=nxn-1

Q: Write the composite function in the form f(g(x)).   u = g(x) =     y = f(u) =     Then find…

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Q: Use the quotient rule to find the derivative of the function. p(t) = 2t-3 p'(t) = %3D

A:

Q: Find the derivative of the function. f(t) = 4t sin(nt)

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Q: V. Find the third derivative q = tsecv0.2t" +1 Where r is the last digit of your university ID.

A: It is given that: qt=tsec0.2t4+1 Let u=0.2t4+1 qt=tsecu Differentiate w.r.t t to get:…

Q: Use the Quotient Rule to calculate the derivative.

A:

Q: 3x²+1 e) у %3D cos?(3x?) f) y = x-2

A: We need to evaluate the derivative of the following function e y = cos23x2f y = 3x2+1x-1

Q: Find the derivative d/dx of the following

A:

Q: Use the Quotient Rule to find the derivative of the function. Re) = cos(e) f(t) f'(E)

A: Given f(t) = costt5wktduvdt = vu'-uv'v2

Q: Use the quotient rule to find the derivative of the following. (2x +2) (3x + 7) y = 8x-7 dy dx %3D

A: The given function,y=(2x2+2)(3x+7)8x-7

Q: Use the Quotient Rule to find the derivative of the function. f(t)= cos(t)/t^2 f'(t)=_____

A:

Q: Find the derivative of the function. F(t) = est sin(2t)

A: Use the chain rule of derivative and simplify.

Q: Use the quotient rule to find the derivative of the following.

A: Given           p(t)=tt-1

Q: g(z) = 3z' – sin(z +6)

A:

Q: f(t) =cos(t)/t^7 f '(t) =

A:

Q: Use the Product Rule or the Quotient Rule to find the derivative of the function.

A: f(t) = 2t5 cos t

Q: ind the derivative of the function y = (x+ 8 sinx) (1+ 14x), and simplify the answe

A: Given : y =(x+8sin-1x ) ( 1+14x)

Q: y = Arc tan Vx

A:

Q: If f(x) = eX, then what is the derivative of f(x) with respect to x? %3! O 7e7x O e'*(x + 7) O…

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Q: Find the derivative of the function?

A: We have to solve

Q: In the given question , find the derivative of the function? f (t) = arctan(sinh t)

A: f(t)=arctan (sinh t)

Q: find the derivative of g(x)= 3x3- 2/ square root x   you dont need to simplify answer, but use…

A: The given function is,

Q: (c) y = e* sin 7x + In(cos(x)) (d) y= xarcsin x+ V1-x²

A:

Q: 21. f(x) = sin(ln r²) %3D

A:

Q: Find the derivative of the trigonometric function.

A: Differentiation is the rate of change in the value of the dependent variable with respect to the…

Q: Use the quotient rule to find the derivative of the following. 2x +1 y%= * +7 dy %3D xp

A: We can find the derivative by quotient rule.

Q: Use the product rule to find the derivative. Simplify the result. d :[V¤(13x +2)] dx

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Q: d Use the Product Rule to find the derivative [(x + 3)(3x + 8)]. dx Answer

A: Explanation of the answer is as follows

Q: Use the product rule to find the derivative with respect to the independent variable. y = (8x? +…

A: Let y=uv, then product rule differentiation  dydx=udvdx+vdudx y=(8x2+9)(5x-7) Let u = (8x2+9)      v…

Q: find the derivatives of the following tunctions b) gix) Sinlx)

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Q: # 49. y = 2x arccos r -2/1- x2

A: Given y=2x arccosx-21-x2

Q: Use implicit differentiation to find dx for the following equation. 4x +7y=11xy dy

A: We have to find the derivative of given equation using implicit differentiation.

Q: Find the derivative(dy/dx) of following function f(x) = Sin(2x) (x+1)? %3D

A: It is derivative problem.

Q: Use the definition of the derivative to find df/dx for the function f(x)=23

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Q: Find the derivative of the following function and simplify as much as possible: f(x)= In(cos(2x)) a.…

A: Use the chain rule of derivative and simplify the result.

Q: Use the definition of the derivative to find the derivative of the following functions.

A: Consider the given function as wt=1t

Q: Find the derivative with respect to the independent variable. f(x) = cos ? (8x2 - 1) f'(x) = D %3D

A: Given expression: fx=cos28x2-1 In such type of problem we will apply function of function rule: If…

Q: For the function tan y = 9x + 62, find dy (using implicit differentiation) dx

A: tany = 9x +12 Differentiate w.r.to x, we have  d(tany)dx=d(9x+12)dx

Q: Find the derivative of the function and si - sin?(7x) y 9. y' = ||

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Q: Please solve and simplify

A: Simplify the given function as follows.

Q: 4) Use the quotient rule to find the derivative. Simplify the result. d [3+7e* dx | 6e* + 5

A: given that, dds3+7es6es+5 we have to find the derivative using quotient rule.