Differentiate the functions. Find the derivative of y with respect to x. Use the given relation in its implicit form.

Q: Find the derivative of the function. y = = *

A: For these kind of derivatives, we need to use the substitution method. Substitute the power term…

Q: MacBook Air

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Q: Find the derivative of function. z = 10ylog y

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Q: Find the third derivative of the function: Y =

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Q: Use the rules of differentiation to find the derivative of the function. y = 20

A: Derivative of a constant is zero

Q: Find the derivative of the algebraic function.

A: To find the derivative of the algebraic function. f(x)=3x-1x

Q: Determine the derivative of the function y=xlnx−x.

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Q: Find the derivative of the given functions.

A: Use differentiation to find the values

Q: Find the nth-order derivative of the function y=x3sin2x.

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Q: Find the derivative of the function. y'(x) =

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

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Q: Find the derivative of the following function

A: Let the given function be - y = 5x + tan-11xDifferentiating on both sides with respect to x - dydx =…

Q: Find the derivative of the function y = x36. y'

A: Derivative of function

Q: Find the derivative of the function f(x) = arccot √x

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Q: Find the derivative of the following function.

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Q: Find the derivative of the function. h(x) = ex² - > x + 5 %3D

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Q: Find the derivative of f (y) = 153/g In(y)

A: Given: f(y)=15y3lny

Q: Find the derivative of the function. f(x) = 2x In(x) f'(x) =

A: Let us consider the given function as: fx=2xlnx By using product Rule of derivative, we get:…

Q: Find the derivative of y = x*. .5"

A: Given that: y=x5x

Q: Find the nth-order derivative of the function y=x2cosx.

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

A: Our Aim is to find the derivative of the function given below:-y=12-(i)

Q: Find the derivative of the function. g(x) = (sech(8x)) g'(x) = %3D

A: take derivative

Q: Find the derivative of the function. 4 y=デ

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Q: Find the derivative of the function. y:

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Q: Find the derivative of the function.

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

Q: Find the derivative of the function Зх + у Зx + y = Зх

A: Given function,

Q: Use the Quotient Rule to find the derivative of the function. x2 h(x) = %3D X + 2 h'(x) =

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Q: Find the derivative of the function. y = /x(x - 3)? y' = %3D

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Q: Find the derivative of function defined as follows.

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

Q: The derivative of the function is equal to

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Q: Calculate the derivative of the function y=3sinx+2cosx.

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Q: Find the derivative of the function. y = x2 In x2

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Q: Find the derivative of the function. f(x) = ex - xe

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Q: Find the derivative of the function. y = x + 3 y'=

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Q: Find the derivative. h(x) == 2* %3D

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Q: Use the General Power Rule to find the derivative of the function. g(x) = V7- Sx

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

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Q: The derivative of a function at each point is itself. y=kex

A: To find out the derivative of the function.

Q: Find the derivative of the function y=√x(1+x).

A: The given function is y=x1+x. We know that, by chain rule of differentiation fg'=fg'+gf'

Q: Find the derivative. y = x In(x) + x

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Q: Find the derivative of the function. y = (x² + 1) coth 91 y' =

A: we have to find the derivative of given function                 f(x) = (x2+1)coth(x6)

Q: e of the derivati

A: It is given that ,  x j(x) j'(x) k(x) k'(x) -1 3 -4 5 -6 a) h(x)=2j(x)k(x)find h'(-1)=? b)…

Q: Find the derivative of the function f (x) = Vx /x – 6.

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Q: Find the derivative for y=

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Q: Find the nth order derivative of the function y=xlnx.

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Q: Calculate the derivative of the function y=x.

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Q: Find the derivative of the function y=√x.

A: Given, y=x