Let u(x) = C(x) and let v(x) = x. Find the derivative of u(x). O A. u'(x) = C(x)• C'(x) O B. u'(x) = C'(x) O C. u'(x) = C'(x)

Q: find the derivative of y with respect to x, t, or θ, as appropriate. y= ln x3

A: Given:

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A: Find the derivative of function. y=(ln|x+1|)4

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A:

Q: 4. Calculate the derivative of the given function directly from the definition of derivative y = v2x…

A: Given function is  y=√(2x+1)

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A: Using rules of differentiation.

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A:

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A:

Q: Find the derivative of y with respect to x. 2. y²(x + 2y) = e²

A: Given,

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A: given problem :y=xlnx3

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A: Given,  y=x2-12cos x

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Q: Compute the derivative of the function y=x2/ln x at x=e.

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Q: Find the derivative of the function.

A: Given that, f(x)=ln(x-1)   As we know, ddxln(x)=1x Chain Rule Of derivative, If…

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A:

Q: find the derivative of y with respect to x, t, orθ, as appropriate. y = ln (3te-t)

A: We expand the function using the properties of logarithm

Q: Find the derivative of y with respect to x. y = tan 1 (In 4x) 1+ (In 4x)2 xV1+ (In 4x)² x(1 + (In…

A: We will find the derivative of y with respect to x as following.

Q: find the derivative of y with respect to x, t, or θ, as appropriate. y = (x2 ln x)4

A:

Q: Find the derivative of y with respect to x. y= csc^-1 (x^2+1) , x>0

A: Given ,

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A:

Q: What is the derivative of: y ln x − x ln y = 1

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

Q: In 2x y = - cos x

A: ddxln 2xcos x= ddxln 2x . cos x - ln 2x.ddxcos xcos2 x= 12x. 2. cos x - ln 2x.(-sin x)cos2x= cos xx…

Q: find the derivative of y with respect to x, t, orθ, as appropriate.

A: On simplification, we get

Q: Let y be a function of x and suppose y=In(x²+y²). What is the correct result for the derivative of y…

A:

Q: find the derivative of y with respect to x, t, or θ, as appropriate. y = x4/4 ln x - x4/16

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Q: Compute the derivative of f (x) = (x – 3r) cos(r). -

A: You will find the derivative of the given function using the product rule of differentiation which…

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A: If you have function f(x) in the numerator and the function g(x) in the denominator, then the…

Q: find the derivative of y with respect to the appropriatevariable. y = csc-1 (x2 + 1), x > 0

A: Given that, y=csc-1x2+1

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A: We can solve the given problem using chain rule derivative.

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A:

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Q: find the derivative of y with respect to x, t, or θ, as appropriate. y = ln3/x

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Q: Let y be a function of x and suppose y= In(y-x). What is the correct result for the derivative of y…

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A: Use formula of derivative to solve

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A: Find the derivative of the given function.

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Q: (a) Find the first derivative of the function y= la) with respect to x by using the chain rule.

A:

Q: find the derivative of y with respect to x, t, orθ, as appropriate. y = ln (cos2 θ)

A:

Q: find the derivative of y with respect to x, t, or θ, as appropriate.

A: On simplification, we get

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A:

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A: We have to find derivative of y with respect to the appropriate variable: y=cosec-1x2 Rewriting the…

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A: Find the derivative use product rule

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Q: find the derivative of y with respect to x, t, or θ, as appropriate. y = (cos θ) ln (2θ + 2)

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Q: In x g(x) = 2

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A: