A. If ƒ-¹(x) = 2x¹/7 – 1 find f(x)

Q: 2. Given g(x) = (3x+ 2)(x- 2), determine each value. a) g(0) b) g(-1) c) g(1/2)

A: The given function,   g(x)=3x+2x-2

Q: -3x 26. If f(x) = {0 2x + 1 if x -1 find: (a) f(-2) (b) f(-1) (c) f(0)

A: (a) To find: The value of function f-2. Given: The function is fx=-3x       if x<-10…

Q: The first derivative of f(x) = = 10x³ - 3 (5x4 - 6x)³ C. (3-10x³)√(5x4 - 6x)³ A. Select one: O A OB…

A: Given a function f(x) , need to find derivative of the function. We will use chain rule to find the…

Q: Find the equation of the line tangent to the graph of f(x) = 6x° + 5x² – 4x – 7 at x = -3

A:

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

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

Q: The point (-3,0) is the single x-intercept for the function f(x). The corresponding x-intercept for…

A:

Q: Find the value of x where the fuction is discontinuous.     f(x)= x2 + 3 if x>2       = 3x + 1 if…

A: We have given the function

Q: find f ′(x) for each function. f (x) = 5x3 − x + 1

A: Let's find.

Q: If the function f: R→R be defined by f(x)=x² +5x+9,Find f'(8) = and f'(9).

A: The given function is fx=x2+5x+9

Q: find f ′(x) for each function. f (x) = x4 + 2/x

A: f(x)=x4+2x f'(x)=dfdx        =ddxx4+2x        =ddxx4+ddx2x       =4x3+2-1x2

Q: If 10x³y* + e*Y = 5 defines y implicitly as a function of x, find y.

A: Using derivatives of implicit function.

Q: If f(x)=(m-4)x+7 is a constant function m =?

A:

Q: If f(x) = 3x3 + x. Find f () 6/8 O 5/8 O 7/8 4/8

A: From the given function: fx=3x3+x

Q: Let ƒ(x) = (2x + 3)(3x2). Use the product rule to find ƒ′(x).

A: Consider the formula for product rule. Product rule: fg'=f'⋅g+f⋅g'

Q: Let f(x)=2x+1 and g(x)=2x2-1 a. f(t+1) b. f[g(-2)]

A: Givenf(x)=2x+1 and g(x)=2x2-1

Q: Find the f"(x). Given: f(x) = (3x + 1)(2x – 1)

A:

Q: 5. Find (f g)(x) for f(x) = 4x -9 and g(x) 3x2.

A:

Q: find f ′(x) for each function. f (x) = 8x4 + 9x2 – 1

A: The given function,        fx=8x4+9x2-1