Suppose it is know that the function f(x) = has a maximum value of 2 attained at x = 6. Can you determine the unknowns a and b? a = b | = axebx2 = AY

Q: D. Differentiate the following. a. f(x) = 4x³ – 5x² + x + 8 b. g(x) = x" -* -*+* + vZ c. h(x) = v9x°…

A: (a) To find: The derivative of fx=4x5-5x3+x+8. Formula used: Power rule of derivative: xn'=n·xn-1…

Q: Show that f(x)=x5-x3-1 has a zero between 1 and 2.

A:

Q: 6) Differentiate: a) f(x)= 5x-3 +1)

A:

Q: find the extrema (minimum and maximum) of f(x) = x2-1 on (-1,2). If none, explain why.

A:

Q: 10. Differentiate each function. a) y= -3x² + 4x – 5 b) f(x)=6x¬1- 5x=2 O f(x)= 4Jx

A:

Q: Suppose that f () = 8200 and f (8) = 2600. (a) Write the linear function f, and (b) find the value…

A: Given  f12=8200f8=2600

Q: The domain of the function За + 5у is 2? + у? — 4 f(x, y) - >

A:

Q: Find the domain and range of the given 9) function. m(x) = -/x - 3

A:

Q: 5. If f(2) = 5 and f (-1) = -4, find a and b in the function f(x) = ax + b

A:

Q: Which of the following functions passes through the point(0, 10) and satisfiesf'(x)= 87

A: given f'(x)=8

Q: уто ņx=-5 O SONGS & + 10 9 7 6 5 4 012345 -10-9-8-7 -6 -5 -4 -3 -2 -10 -2 -4 1) lim f(x) = x-(-4)…

A: Sol:- We have to explain what is telling by limits and the points for which f(x) is not…

Q: 5. Differentiate each of the following functions: a) (x+1)³(x-2)4 b) In x+1

A:

Q: Rewrite each pair of functions. (g) and g(t), as one composite function, f(g(e)). (If not possible,…

A: To find f(g(t))

Q: Determine fx (x); f(x) = x² · e*/2 %3D

A: d(uv) = udv + vdu

Q: 3. Is the function given by (x²-4x-5, x<5 F(x)= x+1, x25 continuous at x = 52 why or why not ?

A: Given function, f(x)=x2-4x-5;x-5;x&lt;5x+1;x≥5; The objective is to tell whether the function is…

Q: 4)- S da 1+2

A: We need to solve integral. As per Bartleby guidelines we can solve one question. Please upload other…

Q: 7. Consider the functions f(x) = 2x² - 7x + 4 and g(x) = -7x + 5. a) Find f(-1). b) When does g(x) =…

A: Function is f(x)= 2x2-7x + 4 .............(i) We've to find the Value of f(-1) Put the Value of x=…

Q: 9.) What is the smallest slope of the function y=x²-3x² + 5x-1 on ?

A:

Q: 12) y- 3x+ 2x

A: We know that ddxxn = n·xn-1

Q: Find the minimum and maximum value of f(x)=3x-7/x on the interval [2,11]. If the minimum value is…

A: