Find f+ g, f-g, fg, and f/g. If f(x) = x- 3 and g(x) = x + 4, 1. f (x) = 3x + 4, glx) =2x-1 2. f (x) = 2x - 5, B(x) =4x2

Q: Find f ' (x). f(x)= (x5+2x)(2x3+4x-5)

A: Product Rule: If f(x) and g(x) are two differentiable functions, then Consider the function f(x) =…

Q: F(x)=3x^2+2x-7 , G(x)=4x-5x^2+3x: Find G(x)-F(x)

A:

Q: Find the Critical Numbers of the Function: f(x) (x2 + 6x - 7)2

A:

Q: f(x) = √√√5x - 2, g(x) = x² - 25, and h(x) (fh)(x) = 1 x - 3

A:

Q: If f (x) = x* and g(x) = x³, then f'(x) = 4x³ and g'(x) = 3x². The Chain Rule %3| multiplies…

A: It is given fx=x4, gx=x3, f'(x)=4x3 and g'(x)=3x2.

Q: (c) f(x) = x4 - 1 and g(x) = x4 – x³ – 3x² + 5x – 2 in F(R) -

A: HEre we have to find the GCD of the given polynomIal.

Q: The population of a city is expected to be P(x) = x(x2 + 16)-1/2 million people after x years. Find…

A:

Q: Find the critical numbers of the function. a. f(x) = x³ + 6x2 – 15x

A:

Q: If f(x) = x2/3x +1,then f'(x) -3x2- 2х (A) V3x+1

A:

Q: 1.) f(x) = x² + 2x g(x) = 2x - 3 Find (g - N(x) 2.) f(x) = 2x' + 4x + 2x + 1 9(x) = x' - x + 7x + 9…

A: Explanation of the answer is as follows

Q: Find critical points of f(x) = 3x^2 +12x -2

A: We have to find critical points of  f(x) = 3x2 + 12x - 2  To find critical points , differentiate…

Q: find the interverse of the fuction f (x)= 2x + 3/x-4

A:

Q: 15 f'(x)= 6x° +8x³ - x and the initial condition f (-1)=- 2

A:

Q: 2. If f(x) = g(x) × h(x) and f'(x) = -2(x – 7) + 1(-2x – 6) , find a possible equation for f(x)

A: see below the answer and explanation

Q: 3) f (x) -on| -1, 2]| x²+2

A:

Q: (x -1, if 0 < x < 1 2x f(x) = |x – 3| , g(x) = -4 Vx, h(x) = %3D , if

A:

Q: e. As x+, y =-3 x+2x-3x* → f. As x-2, y=4+5x →.

A:

Q: Example: Find the PDE, which has a general solution ø(→,2) = x x =0, where is an arbitrary function…

A:

Q: 2) If g(x) =3 - 2, find g-(x). %3D H-3

A: Given,           gx=3x-3-2

Q: f(x) = -x² + ax + b, x < 2 (-ax + 7, x ≥ 2

A: Here we have to find the value of a and b such that,  f(x)=-x2+ax+b, x&lt;2-ax+7, x≥2 is continuous…

Q: Let f(x) = x2 + 2x – 1 and g(x) = 2x – 4. Find 2f(x) – 3g(x). - | 2x2 — 2х — 14 -3x2 – 2x – 1 |…

A: topic - functions and sets the two sets are equivalent and disjoint sets therefore ,i and iii only

Q: The function f(x) = 2x³ – 21x² + 60x – 7 has two critical values. The smaller one equals and the…

A: The given function is f(x)=2x3-21x2+60x-7

Q: 4 If f(x) = ln(2x² – 3) then f'(x) =? - 2x a) 2x2 – 3 - 4x b) 2x2 – 3 2x c) 2x2 + 3 -4x 2x2 – 3 -…

A: f(x) = ln(2x² - 3) So, f'(x) = 1/(2x²-3) × (2x²-3)' So, f'(x) = 4x/(2x² - 3) .... Option (b)

Q: f(x) =x² - &r+4 g (x) = 4x – 3 h(x) =x+2 1) (+g)(x)= |2) - h)(x) = 3) (hg)(x) =…

A: Since you have posted multiple subparts, as per our policy we will answer first three subparts.…

Q: Determine the critical points of f (x) = 5x ^ 2 + 4x.

A:

Q: Differentiate: g(x)= (2x³ – 1)(x³ + 2) g'(x) = 10x* (2r³ – 1) + 3r²(r³ + 2) g'(x) = 10x“(2³ + 2) –…

A:

Q: 1 -(x-6)* +5 f(x) = - 2 1 g(x): =-x -4 4

A:

Q: f(x) = {2 – 4x, if x 2 -

A:

Q: find the critical value of F(x)= 10x^2 + 12x +5

A: The objective is to find critical value of F(x).

Q: x'-x+2 If fx) =ア+7 6. , find f'(x). (5x-1) (A) (3x) (x'+7)(5x-1)-(x'-x+2)(3x) (x+7) (B)…

A: Given query is to find the derivative of the expression.

Q: Analyze the critical points of f (x) = x3 − 27x − 20.

A: Critical points of a function at which f'(x)=0 or f(x) is not defined.  f(x)=x3-27x-20 f'(x)=3x2-27…

Q: Find f, f'(x) = 20x3 + (1)/(x), x &gt; 0, f(1) = -3 f(x) =

A: Givenf'x = 20x3 + 1x, x &gt; 0, f1 = −3

Q: h(x) = x4-x3 + 7x² - 9x-18 14 f(x) = x$ – 20x3 + 20x2 - 21x + 20 2nobuloe to 1odmun erd yluns

A:

Q: Sketch the graph of f.

A: Given,           fx=x3-2x2-4x+8x-2

Q: (-x² +3, 3. f(x)={ Vx-3+1, x>2 %23

A:

Q: Find h'(-3) if h(x)=4g(x)-5f(x), f(-3)-7,and g'(-3)=-2. Oh'(-3)-0

A:

Q: Find the critical numbers of the function. f(x) : 6x2 – 9x %3D

A: given f(x)=6x2-9xdiffrentiate the function to calculate critical pointsf'(x)=12x-9

Q: f(x)=x^4-x^3-12x^2

A:

Q: Find the critical numbers of the function f (x) = 2x3 + x? + 2x

A: Given:            f(x)=2x3+x2+2x

Q: If Ax) = x² + 3x – 2 and g(x) = X+2 then g(f(-1)) is equal to 6.

A: The objective of the question is evaluate the value at the given functions of composition.

Q: Find all critical points of the function f(x) = 12x5 − 20x3

A:

Q: Find / fx) + 3g(x)ldx if |F()dx = 5 and / g(x)dx = -9- -2 f(x) + 3g(x)]dx = i -2

A: We can find the answer as below.

Q: 5. P(x) = -3x- x³ + x² + x - 10 F(x) = 2x + x- 3x2 - 6 F(x) = x-x- x- 1

A: To find the number of zeroes and variations of polynomials.  According to our company's guidelines I…

Q: -9x(x-2) 8. g(x)=(x²-3x² +1)* 8'(x) =. (2-3x²+1) 2x+1 (3x-1) 9. f(x)=2 _ 6(x² +10x+1) (x+5)* f'(x)…

A:

Q: -3x +4, x < -2 2²-2, x2-2' If f (x) = find f(-2). %3D

A: Given To evaluate  f(-2)=?

Q: с. X-3 -3)x' +x² -1- -14x+3 x -1 d. X-1

A:

Q: If f(x)=x* and g(x)= x³, then f'(x) = 4x³ and g'(x) = 3x². The Chain Rule multiplies derivatives to…

A:

Q: Find the points of discontinuity for 3(x+2)2 a) h(x) x3 + 4x2 + x- 6 6x- x2 b) f(x) = 9 - x2

A: