Question 2 Find the least integer n such that f(x) is 0 (x^) for the function 3x² + x² log x Question 3 Give a Big O estimate for, 00(e) ○0(x!) 00(x³) 00(2³e²) 5x³ ex+10x!

Q: 3. Which of the following exponential functions is NOT increasing on the entire real line? a. fAx) =…

A:

Q: How do we take the derivative of (log(4x+3))2x?, why is it wrong to do :

A: we have given function  to find the derivative.

Q: Let X be exponential with mean 1/^; that is, fX(x) = λe^(-Ax), 01].

A: Let  be exponential distribution with mean .Its PDF is given by,Where,  is a parameter.

Q: The leading behavior h(infinity)(x) for h(x) = (1.3x+(x^3.2)+(e^2.4x))/(1.3+3.2x+(2.4x^2)) at…

A:

Q: y = log (cos(2x) );y'=* %3D %3D O 2 tan ( 2x ) / In (10) O - 2 tan ( 2x ) / In (10) O 2 cot ( 2x ) /…

A:

Q: Given f(x)=(12^x)*(8*x+12)^3.23, what is f'(x) when x=3.83?

A: Here we will find the derivative of the give function using chain rule and product rule of…

Q: Let f(x)=3^4x and g(x)=3^4x^2. Which value for xsatisfies f(x)=3⋅g(x

A:

Q: The logarithmic form of x^y = 1/3 is: Oy = -log(3)/log(x) y = log(3)/log(x) O3 = log(y)/log(x) Ox =…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: What type of discontinuity is in the function f(x) = x-4/(x)^1/2 -(2)? Where is this discontinuty…

A:

Q: Find A^ if A :

A:

Q: во Q7. Find f'(x)when f(x) = √logx 1 O * 1 (logx)= xin(10) O O 1 1 (logx) * xin (10) (logx) 6* O…

A: Given Expression is as follows As we know that

Q: w(x)=(x^3+1)^4 /(x−2)^5 w′(x)=(x−2)^F(x^3+1)^G[Hx^2(x−2)−J(x^3+1)]/(x−2)^K F= G= H= J= K=…

A: Finding w'(x)

Q: Given, F(x) = 2x+3/4x+5 for x ne-5/4; f^-1(x)

A:

Q: 8. If (* = 256 and log (x - y) = 3, calculate the exact values of and y algebraically. Show work for…

A: Given ( 14 )x + y  = 256log4( x - y ) = 3

Q: 9) f(x) = ex log6 X ex x(In 6) A) C) ex (121 X + log6 B) ex x(In 6) + log6 In D) ex 1 = (126 + 1086…

A:

Q: [5] For each of the following functions f find a simple function g such that f(n) = (g(n)). (a)…

A: Given Data: We need to write Θ(g(n)) for given functions.

Q: In the function:  f(x)= (3x^2)ln(x) , x>0 When is the function concave up and concave down in…

A: For concavity we need second derivative.

Q: how is f(x)=x^5  a power function

A: We know that ,  power functions are functions that are in the form of f(x) = kxa or y = kxa, where k…

Q: Let f(x)=3x+1/9x+3 Find f^−1(x) (inverse)

A: Inverse of f is calculated by replacing X and y by each other and finding x in terms of y.

Q: Suppose that f(x)= x^4+5x^3+5 divided by x^2 find f'(-4)

A:

Q: f(x) = [ln(3x)] / (1-x)^2find f' (2)function equals (natural log of 3x )over (1 minus x squared).…

A: We have