Use the chain rule to find the derivative of: cos (82® – 32) -

Q: Use the Chain Rule to find the derivative. y = sec 1/X

A: Differentiate: y=sec 1x. Apply chain rule: dydx=dydu·dudx Let u=1x dydx=dsec 1xd1x·d1xdx

Q: Find y'(x) from y(z) using the definition of a derivative.

A: according to the problem, we have

Q: Use the Chain Rule to find the derivative. y = sin(x2)

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Q: use the Chain Rule to find the derivative. y = (t2 + 3t + 1)−5/2

A: Given: y=t2+3t+1-52 Let, t2+3t+1=u Then, by using the chain rule dydt can be found out as,…

Q: Use the Chain Rule to find the derivative. y = (t2 + 3t + 1) -5/2

A: Here given y = (t2 + 3t + 1) -5/2

Q: Use an appropriate form of the chain rule to find the derivative. R = e8s-t. = 4ø, t= ¢'/2 S dR dø…

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Q: Use the Power Rule to compute the derivative.

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

Q: use the Chain Rule to find the derivative. y = cos3(e4θ )

A: Given: The function given is  y=cos3(e4θ)   To determine: The derivative of the function y=cos3(e4θ)…

Q: use the Chain Rule to find the derivative. y = cos3(12θ)

A: Here given as y=cos312θ

Q: Calculate the derivative (implicit derivative): y + 19xy = Cos(7x – 5y) %3D |

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Q: Find the derivative of the function. A y = 7tan-(x - V1 + x²) %3D (2* * I^ -

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Q: Use the Chain Rule to find the derivative of the following functions.

A: To find the derivative of y=1-ex4 using the chain rule. Solution: Chain rule of differentiation…

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

A: Calculate the derivative of the given expression using product rule d(u·v)dx=v·d(u)dx+u·d(v)dx…

Q: Use the Chain Rule to find the derivative.

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Q: write the function as a composite f (g(x)) and compute the derivative using the Chain Rule. y = (x +…

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: d. X. dx x=-1

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Q: Find the derivative. y = In(t5t)

A: Consider the given equation y=lnt5t and simplify it. Use the logarithmic properties to simplify it.…

Q: Use the Chain Rule to find the derivative. y = cos3(e4θ )

A: We have given y=cos3e4θ Then, dydθ=dcos3e4θdθ=3cos2e4θ-sine4θ4e4θ=-12e4θsine4θcos2e4θ

Q: Use the Fundamental Theorem of Calculus to find the derivative of y- " cos t dt t12

A: Given that  y=∫-9xcos tt12dt

Q: Use Version 2 of the Chain Rule to calculate the derivatives of the following functions.

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Q: Find the derivative of f(x) = x² cos r.

A: The given function fx=x2cosx Differentiate with respect to x using the product rule…

Q: Use Version 2 of the Chain Rule to calculate the derivatives of the following functions.

A: Given- y=cos5t To use-  The Chain Rule to calculate the derivatives of the above function. Identity…

Q: Use an appropriate form of the chain rule to find the derivative. R = e5s-t"; s = 7¢, t 2 dR %3D do

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Q: write the function as a composite f (g(x)) and compute the derivative using the Chain Rule. y =…

A: Given : The function is y = cos ( x3 ) .

Q: Use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative.

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Q: Use the Chain Rule to find the derivative. y = cos3(12θ)

A: Given function is y=cos312θ. To find the derivative of the given function using chain rule.…

Q: Use the chain rule to find the derivative of 2e9z7 Use e^x for e".

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

A: The given function is: y=ln2x-1x+3 To find the derivative of this function, apply the quotient rule,…

Q: f) Apply the Chain Rule in order to calculate the following derivatives: -(sin(a² + 1)) =

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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 Product Rule to calculate the derivative.

A: Given: hs=s-12+2s7-s-1 To find the derivative dhdss=4. Solution: Product rule of differentiation…

Q: Use the Chain Rule to find the derivative of the function. y = (x + Sx?)-1

A: Derivative of function

Q: Use the alternative form of the derivative to find the derivative at x = c, if it exists .

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Q: Use the Chain Rule to find the derivative. y = √(t2 + 9)

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Q: y= cos (4x+9

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Q: Use the Chain Rule combined with other differentiation rules to find the derivative of the following…

A: Given: y=xx+15 To Find: The derivative of the given function

Q: Find the derivative of the function. 9x g(x) = [™ cos(r³]ct Cosx

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Q: find the derivative using the definition ƒ(t) = 1/2t + 1

A: Given:ft=12t+1Derivative definition:f'x=limh→0fx+h-fxh

Q: Find the derivative. y = In /x+5 y' =D

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Q: The derivative of the function y = tan(In(vx² – 6x + 1)) is: %3D

A: Formula:ddx(tan x) = sec2xddx(ln x) =1xddx(xn) =n xn-1

Q: Use an appropriate form of the chain rule to find the derivative. R= e5s-t. s = 80, t= ¢!/2 %3D dR…

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Q: Use the product rule, quotient rule, and chain rules to find the derivative   f(x)=sec(x^2)/e^x

A: on differentiation we get the value

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 the chain rule to find the derivative of: cos(7 + 8x)

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Q: Find the derivative.

A: Given,

Q: Use the u-substitution to find the anti-derivative of h'(x)= xcos(2-3x2)

A: h'(x)=xcos(2-3x2) Formula ∫cos (x) dx= sin (x)+C

Q: find the derivative of the given function y^4=4xy using implicit differentation

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Q: Use the Chain Rule to find the derivative. y = tan(θ + cos θ)

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Q: The derivative of the function () y = In is: tan x,

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Q: Use the chain rule to find the derivative of the function z = 2a*y³ – xy? along the curve given by x…

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