C. f(x)=x³ (4-x)

Q: b) y = (3x-1)e-x²

A: The equation you've provided is a mathematical expression in terms of a variable x, given by:…

Q: If f(x)= square root x​,find f′(3).

A: Given  f(x) = square root x        = √x        = x^(1/2)

Q: f(x) = xe-2x

A: Step 1: Step 2: Step 3: Step 4:

Q: f(x)=-6x+3 find f(1/2)

A: Given: fx=-6x+3 To find: f12

Q: f(x)=4x-x2. Simplify f(a+h)-f(a)/h

A:

Q: Let ​f(x)=4x−1 and ​g(x)=x2+ 5.   Find ​(f◦​g)(0​).

A: Composition of function is found by plugging the inner function in place of variable of the outer…

Q: Find f ′(x). f(x) = 6x15 − 7x3 + 2

A:

Q: f(X) = 2/X       g(X) = X+1/9     (What is the domain?)

A:

Q: Let f(x)=x+2x+9f−1(−8)=

A: The given function is

Q: Given f (x) = x/(x2 - 4), find and simplify f (3x).

A: given, f(x)=x(x2-4)

Q: F(x)=8+2x

A: Given information: F(x)=8+2x

Q: If  f(x) = 4x2 − x3,  find  f ′(x),   f ″(x),   f ‴(x),  and  f (4)(x)

A: Topic- derivative of a function We are given, f(x) = 4x2 − x3 and we know thatddxxn=nxn-1