Find the derivative 4 y = In x +

Q: What is the derivative of x^6

A: We have to use exponent rule.d/dx(x^n)=n*x^(n-1)

Q: h(x)=(x° +1} (2x+5)*

A: Given : hx = x2+132x+52

Q: 3x-4 1. y = Arctan

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Q: Find the second order derivative if  y = xx

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Q: Find the derivative of the function.

A: Use the chain and quotient rule of derivative to differentiate the function.

Q: Find the derivative of function.

A: The given function is f(x) = ln(xex+2).We have to find the derivative of this function with respect…

Q: Find the derivative.

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Q: Find the Derivative of f(x)= tan(- -3

A: We have to find the derivative of function: fx=tan x3x2-3 We know the formula of derivatives, d tan…

Q: Find the derivative of x/ex^2.

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Q: Find the derivative of y with respect to x if y = (11x2 - 22x+ 22) ex.

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Q: Find the derivative. y= In x+3 %3D

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Q: 1 , (x >0) 1+x

A: We need to evaluate the derivative of the following function f(x) = 1-xx1+xx

Q: Find the derivative of y=ln[x^3(x^2-5)^3/4]

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Q: X-3

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Q: Find the derivative of the function y =2cosx – 3sin x +1

A: Given, y=2cosx-3sinx+1

Q: Find the second derivative of y=(tan(2πx))^3.

A: giveny=(tan2πx)3 diffrentiate by chain ruley'=3(tan2πx)3-1sec22πx.(2π)y'=6π(tan2πx)2sec22πx

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

A: Given that: y=x5x

Q: compute the derivative. f (x) = ln(ex − 4x)

A: We can use chain rule ( Nested function form ) of differentiation to find the derivative. According…

Q: (x) = ,2x+1

A: Explanation and solutions is given below....

Q: Find the derivative of the function. x + 6 X-6 y' = y = In

A: I have appended the formula used in the solution part of the question.

Q: Find the derivative of [(xt1)*] /x.

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Q: Find the derivative y = cosh(2x)

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Q: Find the derivative of function. y = ln(5x3 - 2x)3/2

A: To find: The derivative of y=ln5x3-2x32. Formula used: Logarithmic power rule: ln ab=b·ln a Chain…

Q: Find the derivative of 1. y= tan (x* + 3x³)

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Q: Find the derivative of  (x + 1)³ / x

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Q: Compute the derivative of the fo f(x)= 2x+3x ex

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Q: Find the derivative. y = (lnx) 2

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Q: Find the derivative of the function y = x² cosh²3x

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Q: Find the derivative of the function. y = In(4x)

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Q: Find the derivative of f(x) = 6* – 3* + In x -

A: Differentiate: fx=6x-3x+lnx

Q: find the derivative of y if X(メ+リ(メ-2) (x)くメ+3)

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Q: Find the derivative of 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 functiony=tan^2(6x)

A: we have to find derivative of f(x)we will use following rules

Q: 5x +1 y = 2x

A: Our Aim is to find  the derivative of y=5x+12x-(i)

Q: Find the derivative of x²e*.

A:

Q: Find the derivative   Y=ln(4+X^2 )

A: The given function is,

Q: What is the derivative of:  ex / x2

A: The given function is: fx=exx2   As we know that; The Power law: ddxxn=nxn-1 The Quotient rule:…

Q: Find the derivative of y=x^3lnx

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Q: y = csc-1 VE

A: We can find the derivative as below

Q: What is the derivative of (x^2+1)^x?

A: Use the lograthim to find the derivative of given expression.

Q: 2. Find the derivative of y = (5x³ + 2 x)tanx. %3D

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Q: Calculate the derivative. y = cosh(x³)

A: We have to find the derivative of hyperbolic function.

Q: find the derivative of y=sin2(3x).

A:

Q: Find the second derivative of the function f(x) = sec2x

A: Given: f(x)=sec2(x)

Q: Find the derivative of the function. y = x² cosh²3x

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Q: In(x-

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Q: What is the derivative of y = etan-1 2x 2

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Q: find the derivative of f(x)=sec(x^4)ln(9x-8)

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Q: 7. y= ln 2x³ 5х-3

A: Explanation of the answer is as follows