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

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: Find the derivative of a power function with the negative exponent y=x−n.

A: We will use the power rule:

Q: Find the derivative of the function. y = (lnx)        (x7)

A: Quotient rule of differentiation:If a function f(x) is a quotient of u and v where both u and v are…

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

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Q: Find the second order derivative of f(x) exsinxcos2x

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Q: Find the second order derivative if  y = xx

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Q: Find the derivative of the function y = sech(4x − 1)

A: We use the chain rule to find the derivative.

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

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Q: Find the derivative of function. y = log(2x)

A: A composite function is differentiated as follows: ddxfgx=f'gx·g'x

Q: Find the derivative of the function.  y = x/√(x2 + 1)

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Q: Find the derivative of f(y)   f1(y) = ?

A: The given is: fy=6tany-y6-8y4y This function can be written as:…

Q: Find the derivative of the function y = x²e*

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Q: Find the derivative of the function. y = x2 csc x

A: The derivative of any function y=f(x) for the variable x is defined as the rate of change,for which…

Q: Find the derivative of the function

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Q: Find the derivative of the function. y%3=

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Q: Find the derivative of the function f.

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Q: Find the derivative of the function y=2x.

A: Use power rule to solve this derivative. According to power rule the derivative of xn is,…

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

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Q: Find the nth-order derivative of the function y=(3x2−2x)lnx, x>0.

A: Use the product rule

Q: Find the derivative of y= (x+1)^x+1

A: Find the derivative

Q: Find the derivative of the function y=2√x−3sinx.

A: Given: fx=2x-3sinx for finding derivative of given function we use property given below…

Q: Find the derivative of the function: y = tan-(– 2x + 4)

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Q: Calculate the derivative of the function y=2√x+33√x.

A: Given function is y=2x+33x Power rule of differentiation states that: ddxxn=nxn-1 Differentiating…

Q: cosx y =-

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Q: Find the second derivative of the function y=4√x+1.

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Q: Find the derivative of the function. y = 2e* +x2

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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 Зх + у Зx + y = Зх

A: Given function,

Q: Find the derivative of the function. h(x) = x² arctan(8x) %3D

A: To find the derivative of hx=x2tan-18x

Q: Find the derivative (x) = 2 In x – Vĩ

A: Given: fx=2lnx-x   As we know that; The sum/difference rule:  f±g'=f'±g' The Power law; ddxxn=nxn-1…

Q: Find the derivative of the function. Vs - 4 f(s) = Vs +2 f'(s) =

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Q: Find the nth order derivative of the square root y=√x.

A: Let's first calculate the nth order derivative of the power function y=xm where m is a real number.

Q: Find the derivative of the function. Vs - 1 f(s) = Vs +5 l'(s)=]

A: Given query is to find the derivative of the function.

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 nth order derivative of the power function y=xm where m is a real number.

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Q: Find the derivative of the function. y = x2e−x

A: Giveny=x2e−x

Q: Find the derivative of the function.

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Q: Find the third derivative of the function : y = Vx

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Q: Find the derivative of the function. y = x*V25 - x²

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

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Q: x2 b) g(x) = ex

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Q: Find the derivative of the function. y = x(x2 + 1)

A: Given y = x(x2 + 1)

Q: w(x) %3D хе*

A: To find the second derivative of function w(x)=xex

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

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Q: Calculate the derivative of the cubic function y=x3.

A: ddxxn=n xn-1

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

A: Given, y=x

Q: Find the derivative of the function. h(x) = ex + 5

A: First we will differentiate exponential part then we eill differentiate algebraic part