Use the Power Rule to compute the derivative: d. X. dx x=-1

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: Use the Power Rule to compute the derivative. d „0.25 da f'(x) =

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

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

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Q: dy For the function tan y = 7x + 75, find dx || (using implicit differentiation )

A: Given tan y=7x+75 Taking derivative with respect to x. ⇒ddx(tan…

Q: Find the derivative df/dk. " f (k) = ek + a*

A: Find the derivative of the given function.

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

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Q: Use the Power Rule to compute the derivative.

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: Use the Power Rule to compute the derivative.

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

Q: Use the General Power Rule where appropriate to find the derivative of the following functions.

A: Given, st=cos 2t

Q: Find the derivative of the function. 8. y = 7 dy %3D xp

A: As we know thatddxxm=mxm-1

Q: Use the Quotient Rule to calculate the derivative.

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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: Use the quotient rule to find the derivative of the function. * + 4 X-9 dy dx I3D

A: This question is related to differentiation, we will use quotient rule to solve it.

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: calculate the derivative below using the definition of derivative. f(x)=e^[cos(x)]  a = pi/2

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Q: Find the higher order derivative a. y = 49x49 ; find d50y (50th de dx50

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

A: given                                                  ddx6x3x-4 Quotient Rule of differentiation…

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

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Q: b) f(x) = xe

A: If f(x) is a function of x and the second derivative of f(x) exist at any stationary point x0.1.If…

Q: Find the derivative of h(s)=as+b/q  Assume that a, b and q are constants.   h′(s)=

A: Given:

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

A: f(t) = 2t5 cos t

Q: Use the rules of differentiation to find the derivative of the function.              g(t) = cos t

A: Given: gt=cost we know that ddxcosx=-sinx

Q: Use the rules of differentiation to find the derivative of the function.

A: We know that, from the rule of differentiation ddxk·fx=k·ddxfx            ⋯⋯1 where k is any of…

Q: Use the definition of the derivative to find the derivative of: f(t) = –14 – 9t.

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Q: Evaluate the derivative of the function r(t)=⟨sin2t,cost,2sect⟩ at t=π6.

A: To find the derivative of the given function.

Q: Calculate the derivative indicated. dy where y = 5- x3 + 3x? dx2 Ix=1

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Q: Use the Quotient Rule to calculate the derivative for the function g(t) = +4 at t = 1.

A: Given : gt = t4+4t4-4

Q: d By using the definition of the derivative, find the for: dx f(x) = Vx

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Q: Find the derivative of the function. f(t) = 7t sin(tt)

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Q: Use the rules of differentiation to find the derivative of the function.                y = t2 − 3t…

A: Differentiation: y=t2-3t+1Derivative of the function we need to find out.We knowddx(xn)=n.xn-1

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: ind the third derivative for for f(x,y) sin()

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Q: Use the Quotient Rule to calculate the derivative.

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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: Use the Power Rule to compute the derivative.

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Q: Calculate the derivative indicated. d'y where dx? Ix=8 y = 6- x3 + 5x?

A: An equation is given as y=6x3+5x2. The objective is to find the second derivative of the given…

Q: Find the derivative of the function. f(t) = 5t sin(nt) %3D

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Q: Use the Quotient Rule to find the derivative of the function.                                f(t) =…

A: the quotient rule of the derivative states dydt=v.dudt-u.dvdtv2 here v=t3,u=cost we will derivate it…

Q: Use logarithmic differentiation to find the derivative of y with respect to t. VミtV5t %3D dt

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Q: Calculate the derivative indicated. dy where 9. r3 + 9x? dx? lx=5

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Q: dy For the function: sin y = 6x+10, find (using implicit differentiation) 四一

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Q: for f(x, y) = sin(O 2- Find the third derivative for

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Q: Using the definition of the derivative, find f (x), if f(x)=mx+b where m,b are real.

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Q: Use the forward-difference formula to approximate the derivative of f(x) = In(x) at xo = 1.8 using…

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Q: Use the rules of differentiation to find the derivative of the function f(t) = /6

A: Known fact: ddxkx=k.

Q: dy Find the derivative, for the following function. dx y = + 5x + 1

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