adient of f in diro

Q: Prove that f(x)= 2x-tan^1x-ln(x+√x^2+1) increasing on [0, infinity]

A:

Q: branch of z1/5 that is not continuous and positive on the imaginary axis?

A:

Q: Find the derivative by the limit process. x) = 11 -x

A: Given, f(x)=11-x2

Q: What is the geometric interpretgtron of the derivative f'(a)?

A:

Q: ) The tangent line to y = f(x) at (-5, 2) passes through the point (-7, -5). Compute the following.…

A:

Q: Find the derivative by the limit process. f(x) = 7 − x2

A:

Q: find I of implicit function sec""cImcy)- In(8**) when yoo

A: 9999

Q: Use the Power Rule to compute the derivative. (Use symbolic notation and fractions where needed.) L-…

A:

Q: of f(x, y, tion of ve

A:

Q: Differentiate: (etan(x)) /(1+x)  Show all working out.

A: Given  etanx1+x. We have to differentiate it. Used formula:- ddxfxgx=gx⋅ddxfx−fx⋅ddxgxgx2 Here,…

Q: How can we use the derivative f'(x) of a function f(x) to determine where the local max(s) and…

A: Given query is to provide the procedure to find local max and min with the use of derivative of a…

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of f(æ) : Vt3 + 2°dt f' (x)…

A:

Q: Employ fixed-point iteration to locate the root of f(x) = sin (√√x) - x

A: We are given f(x)=sin(x)-x to find the root using fixed we first find iterative function ϕ(x)…

Q: Compute the derivative ecos(x)arctan(x)

A: The given function ecosxarctanx.

Q: Use the Power Rule to compute the derivative: %3D lx=7

A:

Q: In (In(ax))

A:

Q: 1. Determine where f(x) = arcsin (x² – 2x) is increasing. %3D

A:

Q: algebrail dosure OF F. Then th

A:

Q: Compute the derivative of f() = arcsin(x² e3x). %3D

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

Q: Fin derivative of the funclions. y=Log

A: The given function is: y=log3xx-12

Q: 2. Identify the derivative (9) based on the product rule ie, (G). Simplify to a single term.

A: Given ∂∂TGT

Q: Find the derivative of f(x)=8x - 5x+2 using first principles (i.e., use the definition of the…

A:

Q: 1. If F(x) = - eta dt, find F(1) and F'(x).

A: If Fx=∫exe et2 dt, then to find F1 and F'x.

Q: 2. Let F(x) = x – sin(3x) on the interval [0, #]. (a) Explain why F satisfies the conditions of the…

A:

Q: tan2 (3 + Ax) – tan2 3 lim Ar 0 Ax

A:

Q: et + 6x Compute the derivative of -3 -2x (simplification not necessary)

A:

Q: find the derivative of the function the limit process. by flx) %3D

A: Given f(x)=1x2We know that derivative of f(x) with respect to x is defined…

Q: Give example of strongly convergence in Functional Analysis

A:

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of 12 dt f'(x) = [NOTE:…

A: From the fundamental theorem of calculus,…

Q: What are the intervals of monotonicity of f(x) = arctan (2(x-1)) - ln IxI ?

A:

Q: unction to model th model at x = 25.

A: The table is given with the data where x and y coordinate of the equation is given. a. The graph of…

Q: Show that x + is increasing on [1, 0).

A:

Q: What are the indeterminate forms and L'hospital's rule in application of derivatives?

A: We have to define Indeterminate form and L'Hospital Rule

Q: Compute f'(3) using the limit definition of derivative if f

A: Given: f(x)=6x2f'(3)

Q: 2. Find the derivative of f(x) = -4x2 + 3x + 2 from first principles (i.e. the limit definition of a…

A:

Q: Suppose (-8, 6) is a critical point of a function f with continuous second derivatives. If fra (-8,…

A:

Q: Use derivative to show that fx)= In(x²1) %3D is one-to-one.

A:

Q: Define local maxima with a figure in your own words. Give small ans

A: Local maxima : Local maxima would be the point in the particular interval for which the values of…

Q: dx 3-x

A:

Q: Using method of sub., find the Anti-derivative 1 x In x

A: detailed solution is given below

Q: 2. Using the definition of derivative, prove the following: (a) f)=- if fo)-V

A: Find the attachment

Q: In numerical derivative formulas we learned, in general, the smaller the step size the smaller the…

A:

Q: +4イ find the cyitical Points of fCks and the intervals on which the function is increasing de…

A:

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of 15 f(x): dt f'(x) -…

A:

Q: This curve of function belonging to th

A: It is observed from the given plot that the critical points are 0,1, and 3. Consider that f'x gives…

Q: 4. Find the maxima/minima of f(x) = x³ – x using both 1st and 2nd derivative test.

A: Consider the function: fx=13x3-x. Find maxima, minima.   Find f'x by applying axn'=anxn-1.…

Q: prove that f(x)=3x^3-4x^2-x-3 is continuous over [-3,3]

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: 12) Yex)=

A: The given function f(x)=6x

Q: Verify Mean Value Theorem for the function 3x² – 4x + 5 in [-1,1] 1-tanx

A: Use mean value theorem

Q: Define the funetion sle) - and (a) Find the function's fourth derivative at r

A: