2. a. Find relative extrema of the following functions: 2 9x y = х2 — 25 y = x² + 9 Please show detail calculations.

Q: 3x' +5 (3x° +5)* (6x)+(3x° +5) (3)(-3x - 4) (-3) -75-8x)

A:

Q: -2- Write an equation for the tangent line at x = 3 of the curve : 1 f(x)= /2x+ 3

A:

Q: Differentiate the function. dy dx y = (9x2 - 2) (8x2 - 2x+6) =

A: The given function is y=(9x2-2)(8x2-2x+6)   To find: The derivative dydx=?

Q: Problem: After being built, a car must be painted. The revenue, R, in dollars when x cars are…

A:

Q: Find an equation of the tangent line to the graph of f at the given point. y = x³ - 2x + 1, (2,5) y…

A: We will find the required equation of tangent .

Q: Find the domain and the range y= V1- sinx

A: Given function: y=1-sinx

Q: If you are given y = f(x), the equation of function f, describe how to find f′(x).

A: If we are given any equation of any function: Here, Given:                        y= f(x) To find…

Q: dy Ex2: find for the following functions: dx a) y = (x² + 1)5 b) y = [(5-x)(4- 2x)]? c) y = (2x3 –…

A: According to guidelines we should have been able to solve only three subpart of the question

Q: Assume the equations for A , B , C, and D can all be written in the form y = ab'.Which function has…

A: The exponential function: y=abt is increasing, if a>1 and is decreasing, if 0<a<1.

Q: Find y, of the following functions: (i) y=e³x+2

A:

Q: Differentiate the function. y= (5x- 1) (1-x°) dy %3D dx

A: Given that the function is      y = (5x-1)2(1-x3)4

Q: Which is the direct linear variation equation for the relationship y varies directly with x and y=10…

A: Given query is to find the direct linear relationship between x and y.

Q: 2. Which of the following represents the derivative of the function: (1 Point) 2ty %3D

A:

Q: If f(x) = 2x? - 9x + 4, find the equation of the line tangent at a = 2.

A:

Q: Is the function y=sec x always defined? Why or why not?

A: y=secx

Q: Problem: After being built, a car must be painted. The revenue, R, in dollars, when x cars are…

A: Given revenue function is  R(x)=1000x-0.01x2

Q: Suppose the cuyahoga river is polluted with 285 parts per million (ppm) of a toxic substance, and…

A:

Q: 5. State the domain and the range of the tangent function.

A: Consider the tangent function Give the domain and range.   Since tan x=sin xcos x therefore, tangent…

Q: Differentiate the function. y = Sint + π Cost

A: To differentiate y=sint+π cost

Q: the radiy of (-1)h (

A: Consider the given series ∑n=1∞-1nx-2nn2n Here an=-1nn2n     Hence, the radius of convergence is 2

Q: Circle One. Is x=-4 a solution to the function: f(x) = x'+6x +1 lx+6 YES or NO

A: