Find the second-order derivative of the function f(x) = log5 sin x + (2x2 - 8) / (x4 - 4x2). Please show complete solution.

Q: Find the value of the derivative of the function f(x) = 2x³ - 5x² + 3x - 1 at x = 2.

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Q: Use logarithmic differentiation to expand and differentiate y =(x+4)8 / sqrt x4+9

A: we have given y=x+48x4+9now apply log both sides ,we getlog y=logx+48x4+9=8log(x+4)-12log(x4+9)now…

Q: Solve for the second derivative of f(x)=2x-2/x+5

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Q: Use logarithmc differentiation or lanofher method to, find then derivative

A: The function is given by fx = x2x, x>0                                    ......1 To evaluate:…

Q: Q2/ Find the derivative of the function (x) =v3x-x by definition

A: Solve the limit for very small change in x .

Q: Find the derivative of 2x+1/3x-4

A: Given expression in x shown below. We need to find the derivative of the expression with respect to…

Q: g(x) = h * * A Xo elka

A: We know that: a·f'=a·f 'f·g'=f '·g+f·g'   Here, a is a constant.

Q: Computate the derivative y=9x/square root of 1-9x

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Q: 2. y=cot1-2x 3. y=log22x*

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Q: what is the derivative of f(x)= 12ex-121lnx

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Q: Find the derivative f(x) = log7 (6x*+3)

A: We need to evaluate the derivative of,

Q: Q2/ Find the derivative of the function (x) =Vx? - 3 by definition

A: Use the definition of the first principal:   ddxfx=limh→0fx+h-fxh So, ddxx2-3=limh→0x+h2-3-x2-3h

Q: Find dx * and then simplify whenever possible. dx2 1) y = 3t5 – 2t x = 4t3 2) y = t-3 – 7 ,x = t? –…

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