Let f(x)= 4 + ln(x2 + 3) be a function defined on the interval [0,∞). Find the solution to f(x)= 8. Round answer to the nearest thousandth.

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A: Concept: The derivative can be represented as f'(x) or ddx(f(x)) Derivative of xn: ddx(xn)=nxn-1…

Q: (1) (a) Find the derivatives of functions f(x) = e2 and g(x) = 5æ?. (b) Compute the definite…

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Q: 7. Suppose the equation əz ar is a differentiable function of r and y implicitly defined by 2³ = y²…

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Q: х+1 3.) y = х-2

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Q: (b) Find the differential for y = -5 %3D

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Q: 2 Compute the derivative f'(x) of the logistic sigmoi 1 f (x) : 1+ exp(-x)

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Q: If f'(x) = 5x*, what is f(x)? (Use C for the constant of integration.) f(x) =

A: To find the integration

Q: Evaluate the second derivative of mq4.5.png os (bVx³) f(x) = a ln sin(cx2) if a = 21, b = 0.5, and c…

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Q: 4)Find the inflection points of the function . f(x)=ln(x^(2)+1)

A: In this question we will find the point of inflection   we have given function   f(x)=ln(x2+1)…

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A: Since you have posted multiple questions, as per our guidelines we are allowed to answer the first…

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A: solve the following, since previous question is not given so i can't evaluate error

Q: Find the derivative of y. x2 =log6 x+1 O A) Sx+1 x2 O B) ) In 6 x2 2x+1 1 Sx+1 In 6 x2 D) None of…

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

Q: 1. Find the derivative of the following (a) f(x) = log-(r* +2) + 7** (b) k(r) = In(x) + 5e¯ (c) j(z)…

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Q: Find for the following function: dx 1- y = log2 cosh(2x) 2- y = e(x+1) 3- xy + x²y 3 at x = 1

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Q: 3 5.) y = ; x+5

A: Given:- y = 3/(x+5) y = 3(x+5)-1 Using Formula : [f(x)g(x)]' = f(x)g(x)' + g(x)f(x)' Now, y' =…

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Q: 6. A certain radioactive material has a half-life of 100 days. If the amount of material present, x,…

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Q: Find the actual error when the first derivative of f(x) = sin(2x) at *=1/8 s approximated by the…

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Q: Consider the function f(x)=ln (1+x2). a. Find all the critical values of f(x)=ln (1+x2). Using the…

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Q: 1.) f(x) = (2x + 1)(3x – 2)

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