Find f'(x) and simplify. f(x) = 5x5 Inx Which of the following shows the correct application of the product rul OA. (5x5) (25x4) + ( In x) ( =) B. (5x5) () + (In x) (25x4) X O ○ c. (5x5) (-)-(Inx) (25x¹) OD. (H) (25¹) X f'(x) =

Q: Rewrite each expression as a polynomial in standard form. a. (2x -x -9x +1)- (x+7x-3x + 1)

A: Given. We are given a polynomial and we need to convert it in standard form. We need to add all the…

Q: Factorize the polynomial f(x) =x^4−2x^3+x^2−2x as much as possible (explain each step), then find…

A: Given: fx=x4-2x3+x2-2x The aim is to factorise the polynomial and find its sign depending on x.

Q: don't understand why the -x disappears for the left side of the product rule procedure for the…

A: f(x) = xlnx -x Here the product rule applied on the term (x lnx) only. f'(x) = d/dx (xlnx) + d/dx…

Q: 2 / x + x ^ 3) ^ 16 any constant term?

A: We use binomial expansion.

Q: Compute and simplify the difference quotient: f(x +h)-f(x) h 15x 7h + 14 - h = 0. 10x² + 5h+ 7x 10x…

A:

Q: intergral ((x2 -3)/(x4 +7))

A: Solution Given ((x2 -3)/(x4 +7)) we need to  find the integral

Q: Divide the polynomials using synth (2x^(3)-22x^(2)+57x-7)-:(x-7)

A: Given  polynomial , 2x3-22x2+57x-7 Divide by x-7

Q: (10x-19) (3r + 2) (5x-3)

A: We will use the exterior angle property of a triangle that states that an exterior angle is equal to…

Q: Evaluate xe dp- X6 (x +1)*

A:

Q: f(x) = x² + 3x + 4 f(x + h) – f(x) First, find h |(x^2+2hx+h^2+3x+3h+4)/h Preview Next, simplify the…

A:

Q: (x* - 4x² + 6) dx = 2*. (x4-4x2+ 6) dx Select one: O True O False

A:

Q: (x)=x^2+2x-8, and 3x-6 Preform the indicated operation. (Simplify as far as possible.) (f

A: We know if f and g are continuous function then we can write (f+g)(x)=f(x)+g(x) Here f(x)=2x+8…

Q: for (x)=15x^4+10x^3-6x^2+14 show that (3) is equal to the remainder when you divide(x) by (x-3)

A:

Q: Explain what happens to the base function, from #1 and #2 and why?  a(x) = x2 b(x)= -x^2

A: The objective of the question is to understand the transformation of the base function a(x) = x^2…

Q: Simplify V(5/2)=(4/3)(pi)(r)^3 and V(4r)=(4/3)(pi)(r)^3

A: We need to find the volume of a sphere with (A) radius = 5/2 units and (B) radius = 4r units.We know…

Q: Let k(x)=〖2x〗^2-4x+6, find k(-3)

A:

Q: Explain what happens to the base function that went from   a(x) = x^2    d(x) = (x-2)^2

A: The objective of the question is to understand the transformation of the base function a(x) = x^2…

Q: Express as a polynomial.

A: The given expression is as below:       (3x3-4x2+x-7)+(x4-2x3+3x2+5)

Q: Suppose thatf(x) = (x+ 5)^3(x-2)^4. Find the x-coordinates of all points of inflection

A: To find- x-coordinates  of all points of inflection.

Q: Which function is equivalent to f(x) = 4x-12x+92

A: Given , function  f(x) = 4x2 - 12x + 9  We have to find equivalent function  Since ,

Q: (9) y 2*+2 4 15 (11) y: (

A:

Q: Let r(x) = 8x - 5 7x +9 x) = (-5x-5)/(7x-8) Find and simplify

A: Given query is to find inverse t.

Q: (x8/5y1/2)7/8/x1/80y3/32

A: Given,             (x85y12)78x180y332