3x+2 7. FIND f"(x) OF ƒ(x) = 4x ANSWER:

Q: find extreme Value of function fex, y) = x°t 3xy?-3x²-3y=t7 1

A: Given:  fx,y=x3+3xy2-3x2-3y2+7 ⇒fx=3x2+3y2-6x, fy=6xy-6y To find extreme points put fy=0, fx=0…

Q: b) Is f x(x² + 1)dx = x² (;+x) + C true or false? show me

A:

Q: Find the inflection point of the curve f(x)=2x³ – 18x²+ 30x. О а.3 O b. 3/2 С. 9 O d. None

A: We have to find out point of inflection

Q: 2a. Which is the "upper" curve O f(x) O g(x)

A: Solution:

Q: V4 + 3f(x), where f(1) = 7 and f'(1) = 4, 62. If h(x) find h'(1).

A:

Q: 2x + 6 If f(x) find: 6x + 6 f'(x) = %3D f'(4) =

A: Quotient Rule of differentiation is given as, If f(x)=g(x)h(x)then f'(x)=h(x)g'(x)-g(x)h'(x)h(x)2…

Q: Find the interval(s) where f(x) = 2x° – 15x? + 36x – 27 is increasing. -

A: The given function is fx=2x3-15x2+36x-27. The main objective is to find the intervals where the…

Q: Q2:- Find the maximum value of the function f(x,y) 49-x-y? on the line x+ 3y = 10. %3D

A:

Q: Q3): Does the function r(x, y) = xs -xay² is harmonic?

A: As we know that; the function fx,y is harmonic. If ∂2f∂x2+∂2f∂y2=0 or fxx+fyy=0 Given:…

Q: f(x)=√√5x - 8 around the x-axis over the interval [2, 4].

A:

Q: Find g(-T" 1+h -)-2 for h<<r r

A:

Q: solve for the function, x^3- 0.03x^2+2.4x10^-6=0, assuming stopping criterion of es=0.1

A:

Q: Given f()= 2x + 1 and ()= r*+ 2x-1, fnd (f- (1).Then valute the difence when x=2.

A: Sum and difference of the two functions

Q: 02.Find all the maxima value of f(x, y) = 49 – x2 - y?, on the line x +3y = 10 %3D

A:

Q: f (1), where f (x) = 21 + x2

A: Given function - f(x) = x2+21         ...........(1)f-11 = ?First we need to find the inverse…

Q: At what interval is y= 2x3-3x2- 36x + 14 increasing? Decreasing?

A: Question is solved.

Q: Maximise the function f(x, y) = 4xy² subject to r + y? = 2.

A:

Q: Q2:Find the relative extrema of f (x) = 3x³ – 5æ³ Suhmit

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

Q: An accessories company finds that the cost and revenue, in dollars, of producing x belts is given by…

A: NOTE: Refresh your page if you can't see any equations. . the revenue and cost functions are

Q: Find De f Re ー X - 2 2SXミ-1 y = P(x) = ーX+2

A: The domain of a function f(x) is the set of all values of x at which the function is defined i. e…

Q: the y intercept of a function f(x) is (0,b). What is the y-intercept of f(x) +k ?

A: Given that the y intercept of a function f(x) is (0,b).f(x)+k means k units higher than f(x). So the…

Q: 6x + 6 If f(x) = find: %3D 4x + 4' f'(z) = f'(3) =

A:

Q: Q3- Find the functions f.g s.t fog3 (x+1)5

A: fog =(x+1)^5

Q: The range of the finction f (x, y) = lIn(-x²- " + 1) is (0: +00)

A:

Q: f (0), where f (x) = x2 + 2x + 2

A: Consider the given function: fx=x2+2x+2

Q: The derivative of the function y = 7x² + 12 – is: - 15 a) y' = 14x + x2 15 %3D b) y' = 14x + %3D c)…

A:

Q: Find the absolute extreme values of the function on the interval. F(x) = /x, - 27 sxs 64

A:

Q: Find d3y of the function y=xln1/x.

A: Given: Calculation:

Q: What is the value of f(1) - 168 in x³ Inx dx = f(x) ((1/4) Inx-B) + C? 3

A:

Q: 1 f (x) = f '(0) =? find 3 Vx2 + 8

A:

Q: x+1 Q4: Evaluate f dx x2-4

A:

Q: 4. Find f(x), given: f"(x)=12x² – 18x, f(-1) = 6, f(2) = 3

A: Topic - function and integration

Q: Calculate R3 and L3 for f(x) = x² – 7x + 7 over [1,4]. (Give your answers as whole or exact…

A: see 2nd step.

Q: on f(x, y) = 7x2 + 9y? - xy + x.

A: Let the function be, f(x,y)=7x2+9y2-xy+x. Differentiate the function partially with respect to x.…

Q: 2.Find all the maxima value of f(x, y) = 49 - x2 – y?, on the line x + 3y = 10 %3D ||

A:

Q: Calculate R4 for f(x) = (x-1)^2 on interval [2.4]

A: the given function f(x)=x-12 on the interval 2,4

Q: Find the value of x and y for f(x)=3x2+9xy-y2-9x,if fx(x,y)=0 and fy(x,y)=0

A:

Q: Find the equation of the function f whoseg 3 f'(x) = (0, 4) %3D -- 1 + e

A:

Q: What is f'(x) of the function f(x) = 4xy^3 if you consider y as a constant?

A:

Q: z² – 4x + 4 Differentiate f(x)

A:

Q: 5) [ (x² +1)´dtan x3

A:

Q: Determine the value of ∫k4 f(x) dx given that ∫49 f(x) dx=−9 and ∫9k f(x) dx=−3.

A: We have to find following definte integral .Information is given below:

Q: The range of the function y= 16-x2 is the interval [0, 0)

A:

Q: The function y is discontinuous at x equals? x+2

A: Given function is: y=x-4x+2

Q: 5x +6 If f(x) find: %3D 6x + 2 f'(z) = %3D f'(3) =

A:

Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in…

A: Given Data: The revenue function is: R(x)=11000-x3+42x2+700x Interval: 0≤x≤20 The diminishing return…

Q: Q4: Find and classify the extreme points of f (x, y) = 3x?y + y3 -3x2- 3y2 +2.

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

Q: For the function y = (f ¹)'(-4)= f(x) = x² + 4x - 3, x ≥ - 2, find df-1 dy y=-4

A: Introduction: For a function y=fx, its inverse function is represented as x=f-1y. It is not…

Q: 5. L-. s² – 4s +13

A: Here F(s) is given and to find f(t). F(s) is the Laplace transform of f(t) and f(t) is the inverse…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.