a)Find the derivative of the function using the definition of derivative. f(x) = 4 + 8x − 8x2   b) State the domain in interval notation c) State the domain of its derivative

Q: use the Product Rule to calculate the derivative. f (x) = (3x − 5)(2x2 − 3)

A: use the Product Rule to calculate the derivative. f (x) = (3x − 5)(2x2 − 3)

Q: Use formulas (1) and (2) and the power rule to find the derivatives of f (x) =3x/4 - 2

A: As the formulas (1) and (2) are not provided here. So, I solved by using the basic formulas of…

Q: Use the chain rule to find the derivative of f(x)= 5e^-9x^3-6^x^7

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

Q: Find the derivative using the Four-step rule f(x)=2x²-3x+4

A: let f(x) be any function then four-step process to computef'(x) = limh→0f(x + h) − f(x)h  by…

Q: Use the definition of the derivative to find the derivative of g(x) = x3 – 2x² + x – 1. %3D

A: NOTE: Refresh your page if you can't see any equations. . substitute x+h for x

Q: Find the derivative of the function. f(x) = 5x3 - 7x² + x %3D

A:

Q: Use the definition of the derivative f 19. f(x)= 6x² – x 20. -

A: “Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: use the definition of a derivative to find f′(x). 54.  f(x)=6

A:

Q: find the derivative by using the definition of a derivative.f(x)=-4x^2-5x-2

A: we have given,

Q: Use formulas (1) and (2) and the power rule to find the derivatives of f (x) = 2x - 6/7

A: Explanation: Given that,  f(x)=2x-67

Q: Find the indicated derivative using the definition f(x) = 2x4+3x3-2x+7: f'(0)

A: Differentiation is the rate of change in the value of the dependent variable with respect to the…

Q: . Find the first, second, and third derivative of function f(x) = 3x5 – 2x³.

A: Topic:- derivatives

Q: Find f'(x) using the rules for finding derivatives 4x2 - 5x + 2 f(x) = 3x +7

A: We have to find

Q: Find the derivative f'(x) = f(x) = of the function. 2 - 58 - x x²-6

A:

Q: Calculate the derivative of the function. f(x) = (2x2 – 9)-1

A:

Q: 17 Use the definition of derivative to evaluate the derivative of f(x) = 2x2 − 4

A:

Q: Find the derivative:   f(x) = (4x3-7x+9)5

A: Given:  fx=4x3-7x+95 To Find: The derivative of the given function

Q: iven the function y=2x³-4x²+5,

A: Given, the function               y=2x3-4x2+5

Q: Find the derivative of f(x)= 5x2 (4+5e")?

A:

Q: Calculate the derivative. f(x) = (9x 5/2 - 2) / x

A: Given,          fx=9x52-2x

Q: Use the Quotient Rule to find the derivative of the function. 3x - 7 g(x) = %3D x² - 1

A:

Q: Find the derivative of the functionf(x)= 9x² + 4x +6, using the definition of the derivative,

A:

Q: Find the derivative f(x) = √(7 + 4x2) - (1)/(5x2 + 9).

A: Consider the provided function, fx=7+4x2-15x2+9 Find the derivative of the function.…

Q: Find the derivative of f(x) = 7xª + 5x² + 2.

A:

Q: f(2) — V3х — 7

A: Solved using terms of derivative.

Q: Find f'(x) using the rules for finding derivatives 4x2 - 7x +6 f(x) = 2x + 1

A:

Q: Can you please help me find the derivative of f(x)= (2x-3) / (x3-8x+9)

A:

Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

A:

Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

A: Here we use the process of integration and use the given point to calculate the constant of…

Q: Using the definition of derivative, find the derivative of f(x) = 22 + 6x + 6.

A:

Q: find the derivative of g(x) = (x+5)/(5-2X) using the definition of the derivative. must show all…

A:

Q: find the derivative of f(x)=6x^-8/3-x^-2/3

A: Given         fx=6x-83-x-23

Q: 2. Use the derivative rules to differentiate the function. Simplify fully, Write final answers with…

A:

Q: Find the derivative for g(x) = :-7x - 2 + 3x

A: We need to determine the derivative of the function: g(x) = -7x2/3 -2+3x7/4 As the differentiation…

Q: Find the derivative and simplify. f(x) = (x12 + 3x* + 5)(2x³ - 1) f'(x) = %3D

A: Some differentiation formulae: ddx(xn)=nxn-1ddx(c)=0  ; c is any consant value Given function is…

Q: Find the derivative f'(x)=? of the function f(x) = 2x5 +√√x -+ 2x - 3

A: SOLUTION-

Q: f '(x) by using the definition of the derivative. f(x) = 4 – 6x2

A:

Q: find the derivative of the function using only the definition.f(x)= 16x^2-3x+12

A: Initial Calculation:The variable f(x) is a function of x. The derivative of f(x) found with respect…

Q: In(&x³) f(x) = 1-9e-* -2x 1-9e 2

A: Topic- derivative

Q: Find the derivative using the definition for the function f(x) 4 +8x-5x2.

A: Limit defination of derivative f'(x)=limh→0f(x+h)-f(x)h

Q: Use the definition of the derivative to find the derivative of f(x) = x² - 2x + 7

A: By the definition of the derivative f'(x) = lim(h tends to 0) (f(x+h)-f(x))/h

Q: find the derivative  f(x)= (x1/3-5)(x2/5-3x1/5+4x-1/3)

A:

Q: Using the definition of derivative, find the derivative of f(x) = x² + 6x + 6. %3D

A: Using definition of derivatives.

Q: Find the derivative of  f(x) = 5x^3-7x+1

A: Given data: The given function is f(x)=5x3-7x+1. The expression for the derivative of the given…

Q: Use the definition of the derivative to find the derivative of f(x)=6x^2+7x+1

A: Consider the function. fx=6x2+7x+1 Let f is a real function and c is a point in its domain. The…

Q: Use the definition of the derivative to solve.

A: To determine the derivative of the function.