For each of the following functions, write the formula for the function's inverse. a. f(x) = 4 where y f(x). %3D %3D f (y) = Preview %3D b. f(x) 3(2.7)" where y = f(x). %3D %3D f (u) = Preview %3D = log) where y = f(x). %3D f '(y) Preview

Q: Differentiate the following function.   y =ln (x2 + 1) / (2x + 3)

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Q: Solve for the derivative of the following composite functions. f(g(x)) = (x + 4)5 1.

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Q: Find the derivative of the following function. w= log 7 (6P-1) dw dp

A: value=?

Q: Consider the following function. Without finding teh inverse, evaluate the derivative of the inverse…

A: Given information:The given function is .

Q: = (2),f %3D (त.ऋ) uj = (x)f 6(x+1) Break up the following function using laws of logarithms, then…

A: Given function is as below : f(x)=ln(6(x+1)x3)

Q: - for the following function: f(x)=log, dx 20. Find (2x+1)*

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Q: 1. Find the function whose derivative is XV X xª – 1

A: We need to find a function whose derivative is 1xx4-1

Q: Differentiate the following function.   y =  ln -2x + 1

A: Given function is y=ln-2x+1. To differentiate the given function. Solution: Chain rule of…

Q: What is the derivative of e7 ** (4 x*+11)3 y = (16 x2+8 x-5)5 vith respect to x? Hint: Take the…

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Q: Find the derivative of the following function w= log 7(4P - 1 dw dp

A: Given,

Q: Differentiate the following function.   y = ln (1/e1x)

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Q: Q2) find the derivative of the functions : 10 logą t (3x²-1 1) y 2) f(x) = 2x+5

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Q: Find the derivative of the following function using logarithm laws. (2x2 + 3) y = (x – 1)2

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Q: Which of the following functions grow faster than e" as x00? Which grow at the same rate as e"?…

A: We have to calculate which function grows faster than ex The function given to us is 10x4+30x+1…

Q: Evaluate the derivative of the following function at x=0: f (x) = (e³* + x)+ 4. O 16

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Q: Consider the following functions (on the given interval, if specified). Find the derivative of the…

A: Given: f(x)=log10 12x+62 To determine: Derivative of inverse of f(x).

Q: Find the derivative of the given exponential and logarithmic functio 11. y = e-2x²+1 12. A(x) =…

A: To find the derivative of the below functions. y=e−2x2+1 Ax=lnx2+1

Q: Evaluate the derivative of the following function at x=0: f (x) =(e"+x)+ 4 O 16

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Q: Evaluate the function at the indicated value of x without using a calculator. Function Value f(x) =…

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Q: Differentiate the Following Function   y = ln(x)/x^2

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Q: A. Compute for the derivatives of the following functions using logarithmic differentiation. 2. r(8)…

A: Given that 2. rθ=cosecθπθ3. gy=y2tan-1ylnyTo find :derivative of function Solution:2.…

Q: y = log (4x°)

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: h(x) = e= a + 4 – x2

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Q: Find the derivative of the following function. f (x) = log; 8x

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Q: 4х — у (A) х+у 4х + у (B) х+у 4х + у х+у 4х — у D х+у

A: The given function is:4x2+2xy+y2=0

Q: Consider the following functions (on the given interval, if specified). Find the derivative of the…

A: Given information: f1x=x+2

Q: Compute the derivative of the following function. f(x) = 3x e 3x f'(x) = O

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Q: Find the second derivative (y") of the following function step-by-step and simplify the final…

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Q: Which of the following functions grow faster than ex as x→ ∞?Which grow at the same rate as ex?…

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Q: Find the derivative of the function g(x) = 300(4 – e-0.1x)

A: The solution is given as follows

Q: Differentiate the following function.   y = x/ln x

A: Consider a function y is defined as, y=fxgx The derivative of the function is defined as,…

Q: Find The Domain of the Function. y = sin(log, x²]

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Q: Find the derivative for each function: h(x) = e ^ ( - x^2 / 2 )

A: h(x)=e-x22Differentiate both sides with respect to xh'(x)=ddxe-x22h'(x)=e-x22ddx-x22 [chain…

Q: Find the derivatives of the functions y = log2 (x2/2)

A: Given that y=log2(x22)

Q: Find the first derivative of the following functions and simplify your answer. 1.) y=( 5x-2' 2.)…

A: We will use the following formulas : (f(g(x))' = f'(g(x)) g'(x)  uv' = vu'-uv'v2 1.) y = x3+15x-24…

Q: y² x2 + 1 9.

A: Given function is x2+y29=1

Q: Find the derivative of the function y = log5 √(x2 − 1 )

A: Here given function as y=log5x2-1 or y=log x2-1log 5 The power rule for derivatives is expressed as…

Q: x-1 y = log XArctanx - Invx2 +1 = y x+1

A: We can find the second derivative as below

Q: y = ln (xm=)

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: y = log4 x %3D .y = In(5x2 -4x + 8) %3D

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Q: Find the derivative of the function. h(x) = log,(x + 9) h'(x) = %3!

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Q: Find the derivative of the function. y = log 6 V3x+7 3. O A. In 6 3 In 6 O B. 3x +7 In 6 (3x + 7) 3…

A: Given, y = log63x + 7Applying the log rule; logab = lnblnay = ln3x + 7ln6Differentiating with…

Q: y = log6(x)

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Q: 4. Calculate the derivative of the following functions, and find a formula for their inverse: (a)…

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Q: Find the derivatives of the following functions. x.log x. log (log x)

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Q: 2. Find the derivatives of the following functions. a) y = (log2 x)3¬*

A: Given information: The function is y=log2x3-x. Calculation: Find the derivative of the function. Use…

Q: Find the second derivative of each of the following functions. s=1/2t-1 y=x2tan2(3x

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Q: Find the derivative of the following: 8 f(x) = 3 (log5 ( – 2/x7 + x))* - e(v3³n²)

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Q: y = (x² + x + 1)²

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